Math just got important! Which sector of pizza is a better deal? Reddit r/sciencememes

[@bprpmathbasics]

1 divided by 0 (a 3rd grade teacher & principal both got it wrong), Reddit r/NoStupidQuestions kzbin.info/www/bejne/jXrCooN4hs19ia8

[@mekaindo]

"NoStupidQuestions"

[@shelby-r1e]

How dare you not factor in the crust.

[@Wunderschon657]

😇😇😇😇😇

[@Wunderschon657]

dneme 123

[@Wunderschon657]

😇😇😇😇😇

[@qwertek8413]

If the radius of pizza is z, and the thickness is a, the volume of the entire pizza is just pizza.

[@dannyyeung8237]

Yes I knew about it on 29 March 2024

[@imveryangryitsnotbutter]

Mmm, πz²a.

[@rujon288]

cook

[@retardigrade69]

This touched my brain in a very funny way

[@Ahmed-kg2gf]

​@@imveryangryitsnotbutter π is pi and z² is zz

[@Sockerrus]

This is a perfect example for kids in school asking when they will ever use math outside of school.

[@deivisnx]

Yeah, except i can use a calculator sooo...

[@sergio73master1]

And except kids nowdays don't give a fck about the price or economy in general. The next Tik-tok video resets their worries...

[@KingAfrica4]

​@@deivisnxcalculator not useful if you don't know the formula...

[@rebane2001]

​@@KingAfrica4you don't even need to know the formula by heart, just that it exists and that it's applicable here

[@josevictorribeirolisboa7576]

Pretty sure people wouldn't use this for pizza. Nobody is going to use math for that.

[@richardhole8429]

I am so sorry. I ate both pieces while attempting to solve.

[@sureshmukhi2316]

😂

[@perrinromney4555]

Which one took longer to eat? If you can determine that, we have ourselves an empirical solution.

[@keescanalfp5143]

​@@perrinromney4555, it'll always be the second i eat , just because it is the second , and because the difference between the volumes is rather small, as for my mouth .

[@webpombo7765]

​@@keescanalfp5143 I disagree, I don't think the second one would be slower just because it's the second one for me

[@facesmelt9903]

Yeah once I heard pi I started eating the whole pie

[@twitchcontrols1441]

This unit took a week to teach in my precalc class. This dude made me care about the subject and taught the material in 4 minutes.

[@ThisDique]

This is elementary geometry dude. I'm disappointed to hear that lol.

[@twitchcontrols1441]

@ introducing sin/cosin/tangent, radians, and arc lengths didn’t happen till high school dude.

[@Riley_Mundt]

​@@twitchcontrols1441These aren't right triangles, so sin/cos/tan is irrelevant. These aren't even triangles, they are just segments of a circle. Area of a circle and basic division are taught at the third grade, any on-level eight year old will be able to solve this.

[@serianaa]

@@Riley_Mundtthat may be the case for your school. In my little sister’s school, it was taught to them in 6th grade and continued on 7th. It’s just different curriculum per school.

[@Urban_christianity]

@@twitchcontrols1441 its geometry. circles. its elementary school math rn. where is precalc

[@youuuuuuuuuuutube]

As an engineer, you don't need to calculate the exact area, just do: 60 * 36 / 1.5, and 45 * 49 / 1.7 => bigger number wins (meaning left with $1.50). Basically skip the PI and 360.

[@aerophage]

I came here to say this, but I'm glad to see it was already said. All we care about is the ratio

[@HotCrossJuns]

Least relevant "As an engineer..." of all time

[@mykeyboardismelting6856]

I mean yeah the ratio stays the same when you remove 1/360 and pi from both the numerator and denominator, but that’s only helpful for simplifying the final calculation when you know you have two sectors.

[@MiccaPhone]

Hello Howard Wolowitz, also non-engineers are allowed to skip PI and 360, the result won't change for non-engineers.

[@MiccaPhone]

As a non-engineer you can do the exact same thing!

[@GoldenLeafsMovies]

Bro has the quickswap skill unlocked for switching markers.

[@PEECTPA]

That exactly what i was thinking the whole video! Sad, but true

[@chillchinna4164]

Switching to your side marker is faster than reloading.

[@marcush4741]

On paper, the first one is a better deal. But we cant forget that a larger angle means more crust. We should look at the ratio of crust to non crust as well.

[@russellharrell2747]

Some people like more crust, especially if it’s stuffed.

[@marcush4741]

@@russellharrell2747 absolutely fair. Still, crust to pizza ratio is definitely worth looking into.

[@GG-mb9rr]

Or dipping sauce

[@kylen6430]

While I agree with your point that crust is an important consideration, I just want to point out that a larger angle doesn’t strictly mean more crust. Both angle and radius are a factor, but in this case, yes the 6in piece has more crust

[@Zack_Zander]

⁠@@russellharrell2747 Yep, I don't like the crust *_unless_* it is stuffed. Like, I would eat it in a group situation, but if I have the choice, I’ll skip it.

[@daroxes6399]

Everybody's out there doing actual maths and I'm here just counting the number of pieces of pepperoni and being objectively correct.

[@brownfamily1892]

This is the only correct method

[@eminkilicaslan8945]

7" pizza has more pepperoni tho, but 6" pizza is more pizza per dollar.

[@dark6.6E-34]

Dont forget the pictures on display can be misleading.

[@0x1EGEN]

The question is about which has better price to size ratio, not which slice is bigger. 7 inch pizza is larger but also costs more.

[@baranjan6969]

I just craft a glass bottle with those shapes and measure how many liters it takes to fill.

[@charlesxavier1904]

It's better if you just grab a slice and carry on with how close both of these are. If I'm getting paid minimum wage of 7.25 an hour and I'm doing roughly 4:32 seconds worth of work. That comes out to roughly 54 cents of time to calculate this problem. So it costs more money to calculate the unit price of these two similar pizzas than the money you lose by randomly picking the slice of those two closely sized slices.

[@HarmonisedMelody]

True. But if you travel this path often and you're doing the math on your walk home, time lost regardless, you come out significantly ahead in your savings for easy calories! I'd also want to know the bread thickness and topping density though to make a real calculation 😂

[@stella.excite]

If we hold a strictly linear time-to-money conversion based on minimum wage, then yes. I agree both technically and in spirit, so I liked the comment. That being said, the situation may be that money, not time, is the limiting factor. If for whatever reason, you cannot freely take on more hours of work and any reliable investment ties up your funds, you may find yourself with free time (at least enough to watch this video) that cannot easily be converted to cash, and low enough cash you feel obliged to make every penny count. That being said, for almost any practical purpose, just pick a slice and roll with it. They're close enough in size and cost where a problem like "3 small vs 2 large" is unlikely to be applicable, so the only reason to bother is because you like doing the math (which tbf, watching this video indicates you do.)

[@Sasquatch-ff1pj]

This type of problem solving matters in bulk. Say you had to order thousands of slices of pizza a week. Now the savings actually accumulate into viable money.

[@Chris_Fer]

​@@Sasquatch-ff1pj Plus you get the pleasure of giving the 🖕To the ones trying to rip you off. I hate being taken advantage of 🤬

[@maudley]

But you only have to solve it once, and one is about 12.5% more expensive per inch than the other. How many times do you have to buy it before the savings offset the time lost to calculate?

[@LithmusEarth]

The next video listed at 4:31 is "the trickiest 1% Question: in a room of 100, 99% are left-handed. How many must leave to get 98%" Well look at it another way we have 1 = 1%100 right handed and we want 1 = 2%X; So 1 = 0.02X; 50 = X; So 50 People must remain, so 50 Left Handed People have to leave? to make 1vs49 to be 2%.

[@1234567qwerification]

When original one percent is one person, no formula is needed. Just see that 1 person becomes 2%.

[@wobaguk]

Since Pi is a common factor in the two areas, you can disregard that in the calculation and keep the maths easier.

[@theodoremurdock9984]

1/360 is also a common factor that cancels out when you set up the ratio (also the units cancel out as long as they match, e.g. the ratio here is in square inches of pizza per square inch of pizza).

[@feuerschlange6374]

​@@theodoremurdock9984 no, angle/360 does not cancel out. One being 45/360 = 1/8 And the other 60/360 = 1/6 That leaves you with 49*(1/8)*pi And 36*(1/6)*pi Since pi is in both only another factor you can ingore pi

[@CornyFlakez]

​@@feuerschlange6374 nobody said anything about cancelling angle/360. They said that 1/360 is a common factor, which can be cancelled in both calculations. i.e. 60pi×6² and 45pi×7² However, the way I did it mentally was simplifying the fraction and expanding the square. ⅙pi×36 vs ⅛pi×49 pi can get cancelled 6 vs 49/8 = 6⅛ so the right one is slightly larger but proportionally much more expensive. So i estimated the left one is more worth it.

[@peterpan408]

This would answer which is cheaper on a per area basis, but not tell you how much on a per area basis. But it wasn't asked so do it.

[@GamingWithUncleJon]

​@@peterpan408so don't waste time on irrelevant calculations.

[@jamiew7805]

This is the type of question the teacher goes over in class that everyone loves and asks to be on the test.. then asks on the test as the final question “what width does the crust have to be for both pizzas (to the nearest quarter of an inch) for the deals to be equal for the cheese part?” .. simply to gauge if you truly understand what’s at stake in the original question.

[@rockoutconsiderably]

I would love a video on how to figure this out please

[@jacktumba375]

​@@rockoutconsiderablyheres a hint. Take the sector area formula, but set r to (radius - crust width). Plug in values, solve.

[@thinkeightsix]

Next time I see someone pull out a whiteboard while waiting in line to buy a slice, now I'll know why.

[@dorian_cthulhu]

Bro didn’t take the crust into account

[@wickederebus]

and thus Detroit style was born.

[@Alphoric]

Or the pepperoni count being far better on the right

[@thevanky8311]

Your double marker game is inspiring sir.

[@danny1103]

Real life example: Costco Pizza always have the best deal, very large, fairly affordable, and no need the hassle on figuring out which coupon to apply that provide the most mathematical and financial advantage.

[@bokkenka]

Sure... Much like Ikea, they hope you leave with a good feeling about the food (Wow! That was a great deal!) so that it translates into a good feeling overall about shopping there. First impressions are important, but so are last impressions.

[@danny1103]

​@@bokkenka I am still using my 15 year 70 inch desk from IKEA that was like $109 back then. The desk is still smooth and strong after moving like 5-8 times from house to house.

[@johnpaullogan1365]

but you have to calculate the cost of an hour drive to get to a costco and the cost of the costco membership. math gets complicated.

[@NO1xANIMExFAN]

​@@johnpaullogan1365the deals and frequency and amount of stuff I buy more than justifies the car drive and membership. It's a no brainer...

[@sabin97]

@@johnpaullogan1365 those "members only" shops CAN be a good idea. if you go there often and buy a lot, because those small savings add up. but if you dont buy a lot, it's mostly not worth it.

[@realDonaldMcElvy]

I dunno man, you gotta consider the Crust Factor. The 1st Slice has a larger portion of the perimeter, thus more of a Crust/Cheese Ratio. Meanwhile, the 2nd Slice has less of a Crust Factor, and thus is appreciated at a higher value.

[@Verxinn]

Don't forget the ergonomic aspect of pizza eating, its much easier and enjoyable to eat a thinner and longer slice

[@ramennoodle2085]

Crust is the best part.

[@highviewbarbell]

​@@Verxinnones worth is determined by their girth

[@vincentlamontagne7639]

Assuming a contant 1 inch wide crust of both pizzas, pizza #2 has a better cost to toppings area ratio!

[@patrickd9551]

@@vincentlamontagne7639 Euhmmm, no. I actually started out writing a comment exactly to this degree. But in fact the smaller pizza still has more area thanks to the larger angle. I was actually considering a partial value to the crust and was midway through the math when I decided to first check the basic math portion of it. Sooooo, I deleted the comment ;)

[@Zufalligeule]

I've used a bit different method to solve this: 1. Divide the area for the bigger piece by the area of the smaller piece (pi's and 360's cancel out). I've got 45/60*(7^2)/(6^2) = 1.02 or 2% growth in area for the bigger piece. 2. Divide the prices: 1.70/1.50 = 1.13 or 13% growth in price for the bigger piece. 3. Since the growth in price is bigger than growth in area, smaller piece will be a better deal.

[@richard7199]

I just did 25 cents per inch and came up with 5 cent save for the 7 inch slice lol

[@mawillix2018]

@richard7199 You forgot that the 7 inch pizza is thinner. With your logic a 10 by 1 rectangle of pizza is better than a 9 by 9 square of pizza.

[@richard7199]

@@mawillix2018 I never said we’d get more food from it, merely that we get more inches of pizza.

[@SunDry_Marchy]

And you were wrong on both occasions. You aren't measuring length of pizza to determine what's better cost-wise, you use the volume (well, not exactly, we won't be able to properly calculate V, so S is fairly sufficient) ​@@richard7199

[@mawillix2018]

@@richard7199 That depends on how you measure the pizza.

[@jeffmarner3106]

Crust must be calculated. If we estimate .5” of crust the 6” pizza is about $.095/in while the 7” slice is about $.103/in. So the 6” is still barely a better deal but no pizzeria is having that little crust. In almost every real world situation, the 7” will be the better deal. And sometimes the toppings aren’t perfectly centered so be sure to select the correct piece.

[@terriffingtea]

thats what i was thinking too, crust (90% of the time) isnt nearly as good as the pizza itself.

[@HbCAMM_CT]

straight to the point, not even a second more then bare minimum spent to read the meme, i love this

[@davidellis1929]

The volume of a cylindrical pizza with radius Z and thickness A spells PIZZA.

[@neilgerace355]

Cut through the whole mess by never getting less than a whole pizza!

[@jabbawookeez01]

thats y you get like the $6 little ceaser pizza or something and you get to enjoy it yourself. 💀

[@taito404]

Ooh. I like that thinking. Very creative

[@ailst]

In this case you still have to be able to calculate whether a 24 cm diameter for 4 € is a better deal then the 28 cm diameter for 6 €! And multiplying segment angle/360 is just one relatively easy additional step.

[@neilgerace355]

@@ailst That's all true, but you still end up with more pizza :)

[@jamesharmon4994]

​@neilgerace355 The question isn't which pizza is bigger, the question is which is the better value. Three is bigger than one, of course. But which should you choose if given the option $1 each versus three for $5. The one, of course. 😅

[@Nomimasu]

With just a couple of tricks you actually don't have to calculate exact values. First pizza has 36 square units for 9 bucks, so it's 4 units for $1. Second pizza has 49 units for 1.7*8 = $13.6, but for $13 we can buy 52 units of the first pizza. So, first is cheaper.

[@tranmanhuc6235]

i did the same thing

[@User_305aq2]

My brain said, "bigger angle, not big difference in size, lower cost. Go with bigger for less cost." No need for math.

[@OrangeC7]

I did something similar but I did some division so I had to use a calculator for the last bit. Using just multiplication is a lot nicer

[@gaia9020]

The number of pieces does not take in account the diameter or radius of the individual pizza. The first has a diameter of 12, the second of 14, so the second might still be the better deal due to it being larger, thus to just count the pieces is not sufficent :)

[@Apollorion]

@@gaia9020 I think you misunderstood Nomimasu's OP. Nomimasu spoke of _square unit_ which I think was a unit for surface area, i.e. square inch over pi. The numbers of calculation shown were acquired by filling up the discs & realizing that the surface area of a disc is proportional to the square of their radius a.w.a. that the constants that reappear in the expressions for both discs cancel each other out when comparing the two discs.

[@lucasrfma]

I compared the slices before watching the videos by simplifying the calculations. Since it's area calc, I squared the radius. And then the angle will determine a proportion, since it was 60o and 45o, I multiplied the first one by 4 and the second by 3. So: 4 x 6^2 = 144 w/e units for $1.5 3 X 7^2 = 147 w/e units for $1.7 The $1.50 slice is better

[@Syrahl696]

By approaching the problem slightly differently, I was able to work it out in my head after being reminded of the formula. You can simplify the formula for the first one to 1/6 * pi * 6^2, and work out in your head that the fraction cancels out the exponent and it comes to 6*pi. Doing the same thing with the second slice gets 1/8 * pi * 49, rearrange to 49/8 * pi, or 6 + 1/8 * pi. Then, you can multiply the prices by 4. The first slice is $6 for 6*pi units of area, the second is $6.80 for 6.125*pi units of area. From there, it's obvious the first one is the better deal.

[@3dbyeb971]

Now calculate how much more crust you are buying on the 6" slice.

[@jamesharmon4994]

Eat the crust!! 😅

[@Snaproductions]

the frust is good

[@MrSparkefrostie]

That's the best part, that just improves the value of the 6' slice

[@janb.3600]

The 60° slice has 8/7 times the crust of the 45° slice, which makes it better.

[@phiefer3]

Assuming the crust is about 1 inch thick, the 6 inch slice has a better price per crust ratio AND a better topping per price ratio than the 7 inch slice.

[@zeroone8800]

Since you are only comparing the price/area of the two slices, pi cancels out and need not be calculated.

[@MikehMike01]

The 360 as well But then you will only be determining the better value and not the specific values

[@msolec2000]

Also the 360º in the denominator cancels out

[@zeroone8800]

@@msolec2000 I prefer to instead reduce the angles to 1/6 and 1/8. The areas then become 6(pi) and 49/8*(pi).

[@ajejebrazov2]

​@@zeroone8800I did the same,so no need to approximate, which always introduce error

[@57thorns]

@@zeroone8800 Yes, and the of course pi goes away as well, which is a shame as I like pie as well as pizza.

[@Wise_That]

49/36*6/8 = means second slice is 2% bigger but ~15% more expensive.

[@oliverschell7014]

Yes, but 13 % more expensive.

[@GamerNineSix]

But also less crust

[@lupolinar]

Also more salami slices

[@Zhcwu]

Bread costs nothing but good pepperoni and cheese costs a lot.

[@RuyVuusen]

I did it in my head as such: The area of a circle is pi*r², so 36pi in² and 49pi in². 60° is a sixth of a circle and 45° is an eighth of a circle, so the slices have areas of 36pi/6 in² = 6pi in² and 49pi/8 in². If we divide the are by their cost, we get how many square inches of pizza you get per dollar: 6pi in²/$1.50 = 4pi in²/$ and 49pi/8 in²/$1.70 = 49pi/(1.70*8) in²/$ = 49pi/13.5 in²/$ < 52pi/13 in²/$ (I just calculated what 13*4 adds up to because that times pi divided by 13 would give the same value as the earlier 4pi, and thus could tell us how these values compare to each other if we are lucky, and in this case, indeed, because the numerator was larger and the denominator smaller, the new fraction is larger than 49pi/13.5, and thus the $1.70 pizza's number is smaller) = 4pi in²/$, so the $1.50 pizza slice gives more square inches per dollar. This is, of course, not the most efficient way of doing it. It would have, for example, been better to not approximate 13.5 at all, since it is not difficult to calculate 13.5*4 = 54, which would just give 49 < 54, and thus the same result; this time it worked out with 13, but in some other case, I could have needed to redo that calculation.

[@thechatter7102]

holding on to pi until the final step is always more satisfying

[@0x0404]

Theoretically the thinner longer slice will be better since it will have less of that outer edge crust depending how much it takes up

[@martygreenspan-xy2jo]

Exactly! You have to take into account what portion of each is crust, cause everyone knows that cheesybites > crustybites.

[@theNaluK]

This is exactly what I was thinking!

[@GG-mb9rr]

Not if you have dipping sauce for the crust

[@Zakon213]

Similarly, when I compute the value of pizza, I subtract 1 inch from the radius due to the crust

[@macromite3758]

outer edge crust is the best part. if you don't like it then you are a baby.

[@fifiwoof1969]

Gotta love unit pricing - VERY useful at the grocery store! In Australia the grocery has to show you the unit price on the shelf - EASY PEASY!

[@johnpaullogan1365]

my grocery store does unit pricing but 3 brands of the same product one will give price per serving, one price per ounce and the 3rd will give price per gram

[@sabin97]

i do this all the time. particularly when buying rice. for some reason the larger packets of rice arent always cheaper per unit. sometimes it's cheaper per unit to buy 2 small packets than a large one....so i always do the maths.....numbers dont lie. "common sense" does.

[@fifiwoof1969]

@johnpaullogan1365 clearly they hate customers by mixing up units. Luckily in Australia the units match so the comparison is VERY easy to compare!

[@TealRubyy]

You can vastly simplify since in calculating the area, pi is a common factor. Just square the length and divide by the number of slices you could slice (60 is 6 slices, 45 is 8 slices). You don't even have to consider price at that point because it will be apparent that the 7in pizza has marginally greater area but costs a lot more.

[@946towguy2]

We only need to find which slice is less per unit of area. Radius squared times Pi is formula for a circle. Both slices use pi and inches and dollars, so cancel out Pi and remove like unit descriptors. 1.5 and 1.7 are numerators. a circle has 360 degrees, 60 deg and 45deg are 1/6 and 1/8 circle respectively. 60 deg, 6 radius means 1/6*6*6, cancels to just 6 45 deg, 7 radius means 1/8*7*7 or 49/ 8 or 6 1/8 or 6.125 Compare which is smaller: 1.5/61.7/6.125 Multiply both numerators by 4 to simplify: 1.5*4=6, 1.7*4=6.8 6/6=1, 6.8/6.125 is >1 1

[@davidellis1929]

You don't need to calculate the areas, just the ratio of 36/6 to 49/8. The latter shows the narrow slice is just barely larger, by a lesser factor than the price differential.

[@abacaabaca8131]

But you still need to consider the price factor. Like so: 1.50/(36/6) vs 1.70/(49/8)

[@johnpaullogan1365]

@@abacaabaca8131 or just check if 1.5*(49/8)/(36/6) is less than 1.7. simplifying gives us (3/2)*49/48) on the left side which is 147/96 which is 1.53125. so unless the second slice is less than that it is a worse deal

[@meurdesoifphilippe5405]

Yes, or compare 36*4, and 49*3, so 144 vs 147. Almost same area, while the difference in prices is much greater.

[@snestah]

Yeah, this is simpler to compare with fractions and highlights why you need to be comfortable with using fractions and decimals. No need to calculate pi, save time to eat the pie.

[@BlacksheepY-l8q]

Why not just ratio of 6/6 and 7/8. What’s the purpose of square here if all you care about is compare magnitude

[@andrewshiff2004]

I simply figured how much each pizza would cost once you added each slice to equal 360*. A) 1.50 x 6 =$9 B) 1.70 X 8 = $13.60 Knowing that two more slices of A would still be less costly than B. However, if B was better quality and taste and there were only two people sharing the pizza B would be the better choice. Simply based on shared experience.

[@ef2526]

You missed the fact that the completed 360* B pizza would be larger because of the radius, not enough to change the correct answer in this case but if instead of 7' it was 8' the same logic wouldnt work.

[@robertonoz616]

Love this problem. Gave it to my students once and as a bonus had them calculate how long the pizza would have to be for them to get the same deal if the pizza was only 1° wide lol

[@R2Bl3nd]

I would love to eat a pizza like that. It would be like having a conveyor belt made of crust, which is carrying sauce, cheese and toppings into my mouth.

[@johnpaullogan1365]

so a 1/2" radius pizza with a 45 degree arc? or a different radius and theta such that the length of the arc measures 1 inch but the area of that section of the pizza is such that it is 17/15 the area of the first?

[@HeShoeTooBig]

If I were a student, i would have just said "it'd be more efficient to just weigh slices." Seriously, by the time you solve this, the pizza done got cold.

[@girostade5477]

I like how he actually explains the thought process

[@Momie_et_Masque]

but there are less ingredients on the border of the pizza than on the inside so the pizza with longer radius has a better inside/border ratio

[@sarkedev]

Not enough information to solve. What if they're stuffed crust?

[@Fridgeson_]

Have 4 bucks, buy both slices, give the 80 cents tip to the cashier. Economy

[@lool8421]

1st slice is 1/6 of a circle 2nd slice is 1/8 of a circle surface area is pi*r^2 1st slice: 36pi/6 in^2 2nd slice: 49pi/8 in^2 now just make the bottoms the same to compare the sizes 288pi/48 in^2 294pi/48 in^2 seems like the 2nd pizza is better? well, it's bigger by about 2% but it's more expensive by 12-13%, so the first slice wins unless you really hate the edge, then the 2nd pizza is better

[@aydennuula979]

Now that I'm out of school and see these concepts not in a text book, I can understand it way better. Good work

[@piratekit3941]

I thought I would never use math like this in HS...and then I joined a D&D group and our DM was my calculus tutor and kept putting a ton of math puzzles into his campaigns. I wanted to be mad, but he ran a good session.

[@ironfoot1938]

I'm disapointed that you didn't use a short cut to calculate it: You don't have to calculate the /360 and the * π as they are both equal factors. So having to compare them you can just work with rational numbers: 6^2* 60 / 1.50 vs 7^2 * 45 / 1.70

[@davesimms8825]

That’s how I did it.

[@TheFantasticWarrior]

That makes the number bigger though, 1/6 and 1/8 is just easier

[@chrisschack9716]

The /360 is easy to deal with here, it just factors out so it's 1/6 or 1/8 ... and that 1/6 further cancels against the 6^2

[@mynameisnotjeff4184]

Im disappointed a double integral wasn't used to calculate the area

[@rpfour4]

I dunno. The 2nd pizza has more pepperoni.

[@hemandy94]

That's why it is 20 cents higher

[@werdwerdus]

of course it has more pepperoni, the total area is larger. the question is meant to measure value not absolute amounts

[@LS-sx5qo]

​@@werdwerdusNo, the question is about which is the better deal.

[@bluegizmo1983]

0:48 NO, it's called a Slice of pizza, not a Sector or pizza! 😂

[@CatsBringPeace01]

Wrong channel

[@Axcyantol]

@@CatsBringPeace01what

[@danik0011]

imagine some math teacher just sells some pizza on lunch break like that

[@zestyhotfish]

asian: well well well

[@alexzaze1407]

Can you teach how to do the instant marker-swap techinique? Does it work with pens aswell?

[@adipy8912]

Type "how to blackpenredpen" in the search bar

[@inmuyataz]

It does, you just need to rotate it, u just use your index finger to push and use the one above. Well at least that's how i do it , i think there's different method of doing it since i just try to copy my friends long ago

[@alexzaze1407]

@@inmuyataz a video tutorial would be nice for that

[@adipy8912]

@@alexzaze1407 He already has a video about it: kzbin.infogoMm-zD4tKA

[@adipy8912]

@@alexzaze1407 He already has a shorts video about it. Search "how to blackpenredpen"

[@IcyFrost200-eu8sr]

I somehow decided to just use my math skills while lying in bed with post nut clarity. It felt nice to do math

[@davidsantiago7808]

Play a game of chess before you sleep, it's fun to use your brain before sleeping.

[@PoKeKidMPK1]

​​@@davidsantiago7808 then you lose without knowing why to someone who won without knowing why. then it didnt matter and now its the morning and your thinking about life after what ever occurs in the day.

[@davidsantiago7808]

@@PoKeKidMPK1 or u win, but either way you experience a fun way to work the brain. Unless you're a sore loser you coudl have fun even if you lose, chess is just a game after all. The brain is a muscle, and a lot of people lack hobbies that stretch the brain. I am just saying it is healthy and relevant to the original comment

[@PoKeKidMPK1]

@@davidsantiago7808 i dont think you do activities like chess often. it doesnt work that way, in even basic actions. googling info like that doesnt either because it creates beliefs. internet/supplements vs common good habits and purposeful testing worrying about being glorified on a random nights single chess game is also a hilarious self-brought contradiction to the point of learning.

[@PoKeKidMPK1]

@@davidsantiago7808 you must not do activities like chess often then. it doesnt work that way, in even basic actions. you mind as well tell him to wake up, walk, breath, live life and it would be the same redundant idea. searching info like that doesnt either because it creates a fantasy. internet/supplements vs common good habits and purposeful testing worrying about whos being glorified on a random nights single chess game is also a hilarious self-brought contradiction to the point of learning.

[@R3LI2UI]

Actually, it did, but not in the way you might think. 6" slice has 7.5 pieces of pepperoni @ cost of $1.50. 7" slice has 8.75 pieces of pepperoni @ $1.70: 6" = $1.5/7.5 = $0.20 per slice of pepperoni, 7" = $1.7/8.75 =$0.19 per slice of pepperoni...7" slice is more cost effective at a penny less per slice of pepperoni. Cost of making pizza [manhours] is same regardless, cheese & sauce are fairly comparable across the two; pepperoni is most expensive ingredient on the pie. 8) Area of slice may be larger, but you're getting a more expensive meat topping.

[@ABaumstumpf]

i would say it is only 8.5 slices on the 7" - so value for that, but everything else is more.

[@R3LI2UI]

@@ABaumstumpf Point [tongue-in-cheek] was meant to show there's more to the calculus than sheer geometry; otherwise agreed. 8)

[@werdwerdus]

that's fine if all you care about is maximizing total pepperoni. but that is obvious to see since the 2nd one has a larger total area. some of us prefer more crust so the first one wins in both price per unit area as well as more crust

[@SillyOrb]

A simpler variant with a somewhat more intuitive answer is: Given 360 / 60 = 6 360 / 45 = 8 We compute 6 x 6 / 6 / 1.5 = 6 / 1.5 = 4 7 x 7 / 8 / 1.7 = 6.125 / 1.7 = 3.6 The first number is bigger than the second, therefore it says that the first slice has more pizza per unit of currency. The results aren’t real quantities (area in this case) and this simplification is only useful for direct comparisons. So, it’s not meant for real math exercises or measurements, but when comparing prices in your head at a store. It’s the rough total divided by how many pieces it was cut into per your currency. This helps when maximising the amount of actual pizza for your money (with one fewer division when buying a whole pizza), as most places have several sizes at different price points and sometimes the medium option is the best, sometimes the small is the best and at other times the big is best. Cheers.

[@ricoantoniocaare8835]

I voluntarily watched a guy teach me math. I thought this day would never come.

[@leonardobarrera2816]

That is why sellers of pizza never gives you mathematical data for you to buy it in the wrong way Hahaha

[@mikefochtman7164]

Now let's add the thickness. If the first pizza slice is 'thin and crispy' with thickness of 3/8 inch and the second is 'deep dish' with thickness of 1 inch.... lol

[@dannyyeung8237]

Yeah thickness is important as well

[@shaurryabaheti]

why not include the toppings count and crust width at the edges

[@werdwerdus]

this and crispy will ALWAYS lose to total amount of pizza per price haha. it's like a cracker with sauce and cheese. but it's never any cheaper than hand tossed crust

[@h4z4rd1000]

We were talking about Pizza here, deep dish is a garnished bread or tomato soup in a bread bowl, depending where you buy it, but not a pizza. :D

[@daddymuggle]

​@@h4z4rd1000exactly. Thickness affects the deliciousness factor.

[@gerrystorti9692]

Although you have to consider the crust coefficient: On the crust there wont be sauce. Then the 7in slice will have a higher ratio of (sauced surface/total surface), since the crust on the 7in pizza is shorter, and the area is greater than the 6in pizza.

[@theofficialwoohoogamers]

i solved by dividing the angle by the length for both, which would give the angle for each inch, the thicker one for 1 inch is obviously the bigger pizza, the left had 10 degrees, and the right had about 6.429. 10 > 6.429, and conveniently the bigger pizza was the cheaper one.

[@francoismusic_]

0:24 Bro farted, and thought we wouldn't notice

[@NoahOliver-rx3mp]

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[@KleffmanRosenbush]

Hello!! how do you make such monthly, I’m a born Christian and sometimes I feel so down of myself 😭 because of low finance but I still believe God

[@KontyBierbaum]

Thanks to my co-worker (Carson ) who suggested Ms Susan Jane Christy

[@LouisPeters-fw9cg]

She's a licensed broker here in the states🇺🇸 and finance advisor.

[@LouisPeters-fw9cg]

After I raised up to 525k trading with her I bought a new House and a car here in the states🇺🇸🇺🇸 also paid for my son's surgery….Glory to God, shalom.

[@SauredoFevold]

Can I also do it??? My life is facing lots of challenges lately

[@dimanarinull9122]

honestly I did it in reverse. a unit of in^2/$ is more intuitive for me when I think of a better deal, it's "most product per price" instead of "least price per product" but are virtually the same.

[@JackalSniperSnipez]

Forget the pizza, look at how smoothly he switches between the two markers

[@carlhartmann5925]

There’s a much easier way to do this. Seeing as the left one is part of a circle splitt into 6, and the other is part of a circle split into eight you can just calculate the area of the whole cirle and divide by 6 and 8 respectively to get the are of the slice.

[@OhCrapI_He]

Just by looking at the thumbnail IIRC The formula for the area of a circle (or in this case, the size of a pizza) is pi*radius^2 Another commenter described the formula for the volume as pizza, with radius z and thickness a. The one on the left is a 60° slice of a 12-inch pizza (Pizza is usually described by diameter), while the one on the right is a 45° slice of a 14-inch pizza. Area of left slice pi*6^2/6 pi*6 Area of right slice pi*7^2/8 pi*49/8 pi*6.125 The one on the right is ever so slightly larger, but it’s only 2.08333...% larger, and 13.333...% more expensive, so the slice on the left is a better deal Edit: corrected multiple instances of tge

[@dutchchiefofministry1983]

It took me a while to notice but the slide of hand going from the red marker to the blue one is awesome

[@MissesWitch]

I love this teacher using real life examples! In class we're always taught made up examples, But when it's real, You really feel it! ❤

[@BlondeTiger]

I could just see with my eyes that a one inch gain in length is not worth the multiple degrees you loose for more money, but thanks for proving it with a long complicated process that I will never have time to do while I'm ordering pizza in a restaurant.

[@ollllj]

A LOT of pizza deliveries sell a pizza of 2x the radius for 2x to 3x the cost (much closer to 2x) , while it has almost 4x as much pizza, because radius gets squared.

[@ExcaliburVids]

I got kicked out of my local pizza place for trying to use a protractor on the slices.

[@j.lietka9406]

The 1st slice is 1/6 of the circle & the 2nd is 1/8. Calculate the area of the circle (or 1/2) and determine the slice area, compare the areas / cost!

[@Me_Caveman]

This is like physics without friction. You still have to face the health consequences.

[@byrontheusurper6505]

Lemme try to solve this from my mind, i'm trying to de-rust my maths: So you calculate the area of the whole pizza with 2pir², r being the inch count, then you multiply that with the radius of the slice/360° to get the slices' area and then divide that by the Price to get the ratio of area to Price, whichever one's bigger is the winner. Edit: alright, I misremembered the circle area formula and did the ratios the other way round (which does not matter if I'm correct)but otherwise I got it! I mean I'm technically at college level (although I've missed a disproportionate ammount of maths classes and haven't done a single test right so i might be rusty) so it shouldn't surprise me but it's nice to know I can still do it and have fun doing so!

[@royale1223]

Size is proportional to r^2 and the angle and. So ratio is 36*60 : 49*45, simplified into 36*4: 49*3 or 144:147. The second piece is slightly bigger. Since the price differs significantly, order the first pizza.

[@alexkei4009]

I just solved this question economically: advertised "better deal" is always worse for the customer, but he likes it cause it looks good which results in better profit for a company so it was calculated to be exactly like this.

[@Nathan-dt2tu]

What if you don't eat the crust? We need to eliminate a torus from the circle if we're only considering the sauce and topping areas.

[@wolkaiserdrake9946]

I am slightly tipsy and when I'm tipsy I like doing math, KZbin recommend this, I am happy

[@ItsThatKidGreg]

Funny how math become infinitely more engaging when it relates to the real world instead of just the next test

[@jariroth]

You could still argue that the second pizza has less crust on it and thus less of the toppings. But how thick does the crust need to be so that holds true?

[@ronnor99]

You can just do radious squared devided by (360/angle) devided by cost, it doesnt give me a number that means much but you know that the higher number is more volume per cost

[@dolangooby117]

Gotta say the use of different colored markers makes a world of difference to how clear everything is! Wish my teachers would have used it back in the day :')

[@FacetiousAF]

Most learning I've done in years 😂 thank you

[@MrLycan1995]

You ignored the topping to dough ratio tho. The 60° slice has more crust on if we assume both slices have the same crust width therefore bringing the topping to dough ratio down which is paramount in the pizza value formula.

[@Мышьмобиль28]

The area of the 6 inch 60 degree slice is 18,84 and the area of the other one is 19,2325, which means the first slice is roughly 98% of the second one. The cost of the first slice is 1.5 and the second one 1.7, 17 divided by 15 equals 1.13 which means you get more pizza/dollar buying the first slice

[@lonko173]

the one on the left has more blank space near the edge where there never is any ingredients so while technically the one on the left is cheaper per square inch some of those inches are just blank dough

[@FrankBlissett]

As you are comparing them, you don't need to figure out the area - it's 6/6 * 1.5 compared to 7/8 * 1.7. Much easier to figure out in your head.

[@RazaSyed12345]

I want the 3d calculation if possible , can’t get enough of your content ❤

[@willkpc]

But first one has more crust! This needs to be reconsidered and recalculated.

[@gergomato7723]

The solution in my head looked like this: The first pizza is pi x 6x6 but we dont care about pi since it's the same with the second pizza, so it's 36, and the second pizza is 49. The first slice is half of a third circle, so divide 36 with 6, you get 6. The second slice is half of a fourth circle, so divide 49 by 8 which is 6 and 1/8. So the size of the second slice is 1/6/8 bigger, but the price is 2/15th(1/7.5) higher. I have no idea how much is either number, but I'm pretty sure the price increase is bigger than the size increase.

[@liubomyr_p]

Dividing price by area is an obvious solution but comparing difference in size to difference in price is easier.

[@IISourAyyII]

see this is a good math teacher, it all makes sense, down to the marker colors, red = variable, black = constant

[@marconi7007]

Cant you do double integral in polar coordinates??

[@rolansmith9951]

Now I know why da Vinci was so clever he had a pizza 🍕 for lunch every day

[@EricHeran]

Proud that I worked this exactly the same way before watching it. I worry about forgetting things as I age, I'm happy to report I may not use it as much as I would like, but I still can!

[@roderic3261]

As a matter of ergonomics, the longer slice always has more chances to bend on the vertex extreme while holding it, which is annoying. The shorter and wider for me works better to grab it

[@meppeorga]

Did the math in my head, did it wrong, forgot about r^2 and reached the correct answer anyway. boom, quick maths

[@nadaemcomum3253]

The craziest part is not that i understanded tthe video It is that english is not my first language and i still undestanded I feel so happy 😊

[@Exath8630]

I solved it by calculating the second slice's area relative to the first slice. I found that the second pizza is 49/48 of the first slice, which is only 1/48 bigger, yet the price of second pizza is 2/15 more, so the answer is the first pizza.

[@bca-biciclindcuaxel7527]

What you forget is that the first one has more border lenght ( the empty bread part, here in Europe many don't even eat ) . Even if you reduce everything to size area, the Eatable size area is better on the 7 inch one ) that is why it 's price is higher. The first one has only more empty bread. There is no ''better deal'' they are both the same.

[@mrunknown6842]

I didn’t need a whole math lesson on this to know the option 1 was better that was visually obvious it’s common sense