Unveiling The Remarkable Discovery Of Pi By A Genius - Prepare To Be Amazed!

[@yaish3463]

This is is the best explanation of pi I've seen so far, that too the explanation was by one of the best artists. And the drawings were simple yet elegant, I'm impressed and you have caught my attention

[@tiffanyscott3544]

Ditto!

[@СофияИванова-х6й]

Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?

[@A._Meroy]

@@СофияИванова-х6й If the circle was smaller then both its diameter and circumference were smaller, and they would be smaller by the same factor. So for a circle of any size its circumference will always be 3.14 times its diameter.

[@leosmith848]

You have to be seriously innumerate for this to be amazing.

[@buzzwaldron6195]

Pi x D = C was simple enough...

[@kevinkasp]

I figured this out in 4th grade by experimenting with various coins as my “wheel”. We hadn’t learned fractions yet so all I could say was “the distance around a circle is a little bit more than three times the diameter.” Well actually I didn’t know the word diameter yet so it was “A little bit more than three times across the circle.”

[@shooraynerdrawing]

Eureka! 😆

[@jgarrison1309]

kzbin.info/www/bejne/npesmYOXg7CrhJo

[@bozhidarmihaylov]

Same time here 😂 maybe 3rd, same way as in the video half, half, half!? 15 is Pretty (and known), so 3,15 😂 Pretty disappointed that 2x15=30 and 3x30=90 damn!😂 3,25 !? Ugly .. third x quarter..dang 😂

[@joshuabardon9992]

This is put together very well! You always sound so happy while talking about all this which makes it feel very welcoming

[@shooraynerdrawing]

Glad you think so! 😃

[@AlCatrraz]

For a GENIUS, deriving the the value of PI was A PIECE OF CAKE…

[@paulsinclair8829]

Archimedes didn't do any of this. This was known *long* before him. Whoever first noticed that the ratio of the circumference of a circle to its diameter was the same no matter how big the circle is lost to pre-history. Understanding why this was so came from the Greeks, but also well before Archimedes - though they didn't have a rigorous concept of arclength, so couldn't fully prove it (that only came in the Renaissance). What Archimedes did was show that the *area* of circle is half the product of its circumference and radius (thus deriving the pi r squared formula). He used an approach of refining approximations that must later would develop into calculus. He then also used similar methods to find formulas for the surface area and volume of a sphere, which was his proudest accomplishment.

[@savvassyrmopoulos5570]

I think he introduced the "exhausting method", an immature way of integration

[@jonnelson9760]

Probably was discovered by those who made cart wheels. It could have been used to figure out how long of boards they needed.

[@xihangyang]

he know but as a scientist he need to test it out for himself by tgis cardwhiel experience

[@bojokowski]

Does it feel odd to anyone that our final paper math answer for the area has no end when we can see that there is clearly and end to its area..?

[@PossumMedic]

@@jonnelson9760 what would that have to do with the circumference? I don't think they cared how far a cart would move in one rotation of the wheel

[@KENG-mf8pl]

This is the most logical explanation of pi

[@johncraig2623]

Great explanation and demonstration! I could wish you had pointed out that pi is *approximately* 3.14. It isn't 3.14.

[@DennisMathias]

Not really. It is C/D. It is not any numeral. If someone insists it is, ask them what that number is. Either fraction or decimal.

[@richblaker9087]

That really is truly astonishing... I had no idea Pritt Stick was even around in Archimedes time...

[@shooraynerdrawing]

Yeah! it's been going forever! 😂

[@PlaywithJunk]

We did this in school. We were told to make cardboard discs and to use a piece of string to measure the circumference. Then measure the diameter and divide the first number by the second. No matter what the size of the disc was, the result was always close to 3.1.

[@petestevens9740]

This is a really nice explanation of what Pi is / where it comes from. It is NOT a demonstration of how Archimedes determined a more precise value than "a little more than 3". Pi is only approximately 3.14, and Archimedes didn't have access to numbers written in decimal form anyway - they hadn't been invented yet. He was able to work out (using a very brilliant geometric method) that the number of diameters it takes to equal the circumference has to be between 3 10/70 and 3 10/71. That was enough precision for him, and it gives us 3 1/7 (22/7) which is about 3.148. Would love to see you make a video showing that method!

[@shooraynerdrawing]

Thanks - It's really for the visually minded and mathematically challenged. For some people the maths only makes sense when there is a practical demonstration behind it. 😃

[@betha8566]

Yes, I read that he used hexagons inside and outside a circle and doubled them until he got to 96 sides. Then he found out the perimeter that way into the fractions you described.

[@betha8566]

@@shooraynerdrawing I enjoyed your explanation. I always thought of pi as "just a number," but now I "see" that it's 3.141592... DIAMETERS of a circle!

[@jgarrison1309]

Nice video. If you do this again, right around the six minute mark of the video, when you were getting three and a half and a then three and a quarter, measure the line with your ruler... to that mark... and divide that by the diameter of your circle. Use that as your decimal. You wrote down 3.14 out of nowhere because that was what we were told pi was in school. The straight line distance divided by the diameter of your wheel is the way to go, if you don't know about 3.14 ahead of time.

[@billshiff2060]

22/7 (3.1428) was Archimedes upper boundary for PI not PI itself. Archimedes said PI lies between 3.1408 and 3.1428 which is approximately 3.141. Of course he stated it in fractions not decimals. 223/71 < π < 22/7 or 3.1408 < π < 3.1428 So pi must be ~ 3.141_

[@HenrikMyrhaug]

I always learned: "Circumference = π • diameter" I always thought everyone understood pi as being the ratio between the circumference and diameter of a circle, but this video brought back a memory. When I first saw someone write C=2πr, I was so confused why they used a more complicated and abstract formula. C=πd is so much simpler and tells you explicitly what you showed in this video. It makes sense if you learned C=2πr, you wouldn't get the same intuitive understanding of what pi is. By the way, I would recommend you measure the diameter instead of the radius, because measuring the diameter gets you a smaller relative error of the measurement.

[@favesongslist]

maybe as it is helpful with the area of a circle being π r2

[@Numenor7]

I had the exact same comment just said a different way before I saw yours 😂

[@TheLostDarkly]

Think of it this way: if I asked you to sketch the circumference of a circle, π would get you only halfway there. You need 2π radians for a complete circle. Now that you have your 2π radians, what's the circumference? Well, that's easy, 2πr. Sure, 2πr and dπ will get you the same circumference, but that's an answer to a single question. The deeper you go into math and physics, the more important the radius becomes. But besides all of that, what would be a more intuitive way of finding the circumference, going all the way around the circle and multiplying by the radius, or stopping halfway and multiplying by the diameter?

[@captain34ca]

because if you use a compass to draw the circle it's easy to use the same compass to accurately measure the radius. ask a carpenter.

[@daninraleigh]

@@captain34ca So, are you suggesting that 1st graders should be issued a sharp pointy tool?

[@danielparsons2859]

I thought it was a complex question and in fact I found a beautifully simple answer in this video. Thank you. Consequently I've now subscribed.

[@TheTimeProphet]

I have never seen Pi explained like this, like ever. Even though I knew what PI was, this was a really clever explanation.

[@ibrahimsoukak437]

Super fun to watch. Everybody should be explaining math this way

[@jimaanders7527]

I went to school only a little while after Archimedes and we learned about rolling the disk along a line.

[@outthinkersubliminalfacts]

The 3.14 constant comes from: whenever you divide the circumference of any circle to its diagonal from the center; no matter how big or small the circle is you always get 3.14

[@speedomars]

The story is a bit more complicated. The Egyptians and the Babylonians understood this ratio too. But it was Archimedes that determined the ratio more precisely. Archimedes did not name it however. According to Petr Beckmann's A History of Pi, the Greek letter π was first used for this purpose by William Jones in 1706, probably as an abbreviation of periphery.

[@Elf_Hour]

Indeed, associating Pi with mathematics results in a form of Code ... it is not the True symbol for what it claims to represent. For some unknown reason, the true symbol has been lost to modern thought... but it is something that can be 'rediscovered' if someone is so inclined)

[@Donizen1]

Archimedes did not have decimals. He used fractions.

[@fantasia55]

@@Donizen1 He also didn't have a video camera.

[@timl.b.2095]

Gotta respect Archimedes working that out. But you know what, I gotta respect at least as much the people who made nice round wheels out of boards.

[@R.Akerman-oz1tf]

I sure would like to try that cereal.

[@mal2ksc]

Roll a wheel on something harder than it is for long enough and it will become round. ☸

[@PossumMedic]

@@mal2ksc unless it resonates

[@wychan7574]

It was discovered when e escaped from a pie，and later they found e too.

[@outtakontroll3334]

naturally

[@VCT3333]

I discovered pie when I moved to the USA from India. We didn't have pie in India growing up. Key Lime is my favorite!

[@Lightmaker5]

Chuck Norris needed a pick up truck, so he invented pi.

[@andy42x]

I'm dopey and don't get it. 😢

[@alphalunamare]

Archimedes is said to have built odometers for the Roman's. He based it upon the method shown here but he was a little cleverer. He marked of points on a road ar 'diameter intervals into the distance. He started of as You but only stopped when the wheel arrow was on a 'diameter point'. His first fix gave him 7 whole turns for 22 diameters thus giving Pi a ration of 22/7. He foud a better one on a longer road where he got a better fix of 113 whole turns in 355 diameters giving Pi a more accurate ratio of 355/113 .... this is the value he probably used in his odometer designs. Some consider is possible that He designed The AntiKythera Mechanism.

[@educatedtraveler1270]

I can't believe I have not seen this until now. I will definitely do this with my 4th and 5th grade students. Thank you so much.

[@legendaryfailure]

This is the best explanation, and I refuse to learn anything else any other way

[@shooraynerdrawing]

Good for you! 😄

[@lampy6070]

So, by using this formula (l=dxπ), you can calculate the lenght the wheel will cross when you roll it one full circle based on its diametar.

[@joemontiel8726]

I wish there were more teachers like this guy!

[@megadismayed]

Although this knowledge was out there, I learned something new at 65 and this is a new learning. wish the teachers - back then, used this theory

[@VoicesofMusic]

Archimedes calculated π by drawing a regular hexagon inside and outside a circle, then successively doubling the number of sides until he reached a 96-sided regular polygon.

[@thomasharding1838]

OK. You caught the "mm" ! Very good and it was fun watching. Thanks

[@Narsuitus]

The metric system was not around during the time of Archimedes. What measuring units did he actually use?

[@materialmirage]

The budget on this production is astronomically incalculable.

[@TworutoSoFlo]

Amazing explanation of pi. I've never thought that's how someone would discover it. 👍

[@harikrishna8146]

How did that wheel instantly turned into 3D with the addition on Grey sketch 😨😨 Very great explanation sir

[@shooraynerdrawing]

Good question!

[@9Ballr]

I cannot tell a lie, Cherry is still my favorite pi.

[@takeshisatou2371]

engineers: pi=3. Take it or leave it

[@xlerb2286]

Also "5 eh? So let's call it 2 squared, for really large values of 2. That's close enough for what we're doing". I heard that one pretty much verbatim from a couple crusty old engineers. ;)

[@achembusinessidea5306]

Truly you are one of the best teachers i have ever come across. Very useful video sir. I would like to have this book in India . Pls tell me how may can I purchase it from you ??

[@shooraynerdrawing]

Thank you! It should be avaioable ithrough book stores :)

[@michaelmayrend313]

Interesting that you decided to create a road, and then reinvent the wheel. : )

[@robertbour77]

Very helpful! That looks like an interesting book!

[@shooraynerdrawing]

It is!😆

[@noahman27]

This is an awesome illustration of Pi. Thanks!!!!!!

[@azanshaikh7825]

This is the most brilliant explanation of Pi I have ever come across. Well done, good sir! subscribed.

[@СофияИванова-х6й]

Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?

[@lowlightevangelist9431]

Amazing, this opened my brain, thanks!

[@thahirunnisajaffar]

The explanation and demonstration was outstanding sir.

[@shooraynerdrawing]

Thank you so much!

[@freesk8]

Great explanation! And good cartooning, too! :)

[@robinbrowne5419]

That is a very simple explanation which anybody can understand. I like the simple drawing of the wheel too. 🙂👍

[@thomasharding1838]

And, except that Archimedes found pi's value was somewhere between 3 1/7 and 3 10/71. He didn't have numerical decimalization available at the time.

[@alphalunamare]

Decimals are attributed to Egypt 6 years before his death so he might have been aware of them for 'private' use rather in explanations for the masses.

[@devendramattai2738]

Excellent teaching sir...I bet you are a great teacher.

[@Papi_21]

I swear if someone told me this I would have done pure Maths instead maths literacy in school 😂

[@andreranulfo-dev8607]

For sure. If my teacher taught me that way, it would be easy to understand.

[@kingnothing735]

What I came for: The history of pi Why I stay: A quick art attack craft

[@AllanEngelhardt0]

I love these. More please :)

[@gerarddonovan4145]

Brilliant explaination

[@LesleLeBang]

-Take the first three odd integers: 1,3,5 -Double them thusly: 113355 -Divide the last three by the first three thusly: 355/113 There ya go, Pi accurate to 6 decimal places!

[@OXIR]

Oh thank you for this information

[@shooraynerdrawing]

Doesn’t help nonmathematicians who are visual thinkers! 😃

[@chickey333]

This is the first time I ever heard a lesson regarding circumference and diameter of circles

[@awesome_sawce]

Archimedes didn't have sophisticated tools, all he had was an old wooden cartwheel. Luckily, we have sophisticated tools like, *Kellog's Crunchy Nut Cornflakes*

[@shooraynerdrawing]

you got it!

[@aranjaysharma]

This will help me a LOT in my school project thank you sooooo much mind sir

[@shooraynerdrawing]

Most welcome 😊

[@Kevin-S]

This is a very nice explanation. But you seemed to guess where the center of the wheel was when you had a compass available!

[@YeshuaIsTheTruth]

I just subscribed because of this explanation.

[@bastiaanstapelberg9018]

Leuk uitgelegd.....aanrader voor scholieren

[@terry_willis]

Excellent graphic explanation. However, how would one derive 3.14. . . . or out to X number of decimals mathematically? I'm told it's a non-repeating decimal. If you measured cut outs you could do it, but there's always a slight inaccuracy doing it that way. Is there a precise mathematical method?

[@Gubdeer]

Great job!

[@shooraynerdrawing]

Thanks!

[@eworthen843]

Mr. Rayner: You did a great job on the arts and crafts. It would make for a neat after-school project. But you only guessed the .14 part of pi. Maybe guesstimate is a better word. You took the idea that we already know that pi is 3.14, and you drew a model that showed where the .14 would fall. But never do you say how the exact .14 is calculated. If I were guessing like you did, and I used you "halves" method to go from 3.5 to 3.25, I would have put pi at 3.125.after all, any dullard of a mathematician in Archimedes' day could have told you that pi was between 3.125 and 3.25. Because of this, you have done Archimedes a huge disservice. After all, he did not draw out a wheel and a road and measure it. He used the method of exhaustion to predict the upper and lower limits of pi by finding the areas of polygons inscribed and circumscribed about a circle. He continued dividing these polygons until he had polygons inside and outside the circle with 96 sides. He thus set the limits of pi as 3.140845 < π < 3.1428571. I like fun and games as much as the next guy. But you did say that Archimedes was a genius for his discovery and then took the conversation to the level of a third grader. Not cool.

[@shooraynerdrawing]

It's not a proof or a guess - its a visual explanation of why, for those that don't get maths but do get visual representations - as you will see from the comments. Mathematicians wish to find fault - non mathematicians go - "Oh I see! Now I understand!"

[@eworthen843]

@@shooraynerdrawing Then you shouldn't attribute the demonstration to Archimedes.

[@shooraynerdrawing]

that's the creative part!

[@bobstuart2638]

A common memory aid is 22/7, which gives 3.1428 - Not accurate past the three digit approximation. However, 355/113 = 3.1415929, which has 7 digits right, and is also an easy-to-remember sequence.

[@solaokusanya955]

Eureka!!!!.... Today everything comes together in my mind!!

[@demon7305]

let's all agree if I had watched this my exam would have been simpler and more fun to memorize.

[@janjager2906]

A gifted artist you are!

[@nadim1915]

Awesome

[@anshrahatif4391]

I have completed my high school. I wish I would have known this when I was in my school and I would rock it before my friends and teachers.

[@shooraynerdrawing]

lol

[@len9518]

Beautiful!!

[@shooraynerdrawing]

Thank you! 😊

[@dogslife4831]

Delightful video

[@shooraynerdrawing]

Glad you enjoyed it

[@ManojKumar-ef2og]

The use of the home avalible parts really caught my attention

[@paulhanger7242]

I think if you explained this to school kids they would enjoy mathematics more. Such a great demonstration

[@shooraynerdrawing]

That's why I made the video. Mathematicians wouldn't think to explain this for visual thjinkers!

[@СофияИванова-х6й]

Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?

[@MrGyges]

Got it ! Thanks to you ( and Archimedes ). I never knew & now I do.

[@kmyc89]

I have seen that animation many times on Wikipedia, but I never thought, it was the origin (not to mention, that Archimedes wasn't the only, but the most accurate Mathematician)

[@hihi-td9jd]

Awesome!

[@shooraynerdrawing]

Thanks!

[@Himachal.culture]

thanks very for this easy concept.

[@shooraynerdrawing]

Glad you liked it!

[@nathangold9775]

I thought everyone knew that pi was the ratio of diameter to circumferences. You must have skipped the day they introduced pi in school.

[@jazzracicot]

I agree. It was explained so many times I have difficulties to believe someone never heard it. At least, his explanations are very good.

[@MarceloCarmello-y8s]

Very smart, thank you!

[@jgarrison1309]

Nice video. If you do this again, right around the six minute mark of the video, when you were getting three and a half and a then three and a quarter, measure the line with your ruler... to that mark... and divide that by the diameter of your circle after you measure your wheel. Once you have that answer to the division problem, use that as your decimal. You wrote down 3.14 out of nowhere because that was what we were told pi was in school. The straight line distance divided by the diameter of your wheel is the way to go, if you don't know about 3.14 ahead of time.

[@danielvincent6453]

I mean THIS IS THE BEST EXPLANATION Thanks man

[@olmostgudinaf8100]

If your maths teacher "haven't told you", then they've done an abysmal job.

[@juletraylor5829]

perfect.....thank you

[@cyberghost4043]

Thank you Sir, now I understand🥹🙏❤️Godbless Sir

[@montyyy]

Thanks this video is very useful

[@shooraynerdrawing]

Glad it was helpful!

[@ΣτελιοςΒουγιουκαλακης]

To complete your nice prove, and given that your audience are elementary school students, you should repeat the example with another circle of different radius so that students understand that π is independent of the circle you select

[@Qermaq]

The only math quibble I have with this is that pi is "about" 3.14. Pi has a defined value that we can't write out with perfect precision other than just "pi". But for ink and cardboard 3.14 is a close enough. approximation for sure. Really, other than that, this is a very good presentation!

[@shooraynerdrawing]

Thanks 😀

[@arshpreetsingh8567]

Aryabhatta discovered pie

[@ganeshmoorthysubramaniam7551]

Indian discovered pi before this joker. 🤣😆🤣😆

[@ericj199]

Wow, great video!

[@shooraynerdrawing]

Thanks!

[@weggquiz]

awesome explanation

[@shooraynerdrawing]

Glad you liked it

[@gedtoon6451]

I like the rounded digits on your calculator. Who is the manufacturer?

[@shooraynerdrawing]

lol - that's an iphone!

[@bettekavalec1454]

Fantastic explanation!!!

[@johnmcclain610]

An easy way to calculate the first six digits of pi: 1. Take the first three odd numbers: 135. 2. Double each digit: 113355. 3. Divide the last three digits by the first three digits to five decimal places: 355/113. Answer: 3.14159 If anyone knows of numbers that will produce more correct significant decimal places, I’d love to know them.

[@patrickhuynh1766]

6:28 "No one ever told me that, no one. If they did I wouldve understood"

[@I_DidntKnowThat]

I always knew what pi represented, but the simplicity of how Archimedes discovered it is astonoshing. Is there a mathematical proof that the ratio of the diameter and circumference is always pi?

[@shooraynerdrawing]

I'm afraid you'll need a mathematician not an artist for that! 😄

[@thecommonsenseconservative5576]

I went to a top 100 high school and I took AP calculus as a junior and I am now 39 and you just explained to me how pie came about

[@shooraynerdrawing]

lol you were taught by mathematicians not artists 🤣

[@billshiff2060]

Its PI π not pie🥧

[@thecommonsenseconservative5576]

@@billshiff2060 cool story bro tell it again

[@billshiff2060]

@@thecommonsenseconservative5576 Its a fact not a "story". Something tells me your "top 100" high school had those short busses lol.

[@thecommonsenseconservative5576]

@@billshiff2060 your "something" was on those short busses that drove by my high school you dumb pedantic

[@albertobernado4103]

But who was the first person to discover that this circumference/diameter ratio is a ratio with infinite value? Where was this discovered and how exactly was this "measurement" found? Can anyone help me find this information?

[@shooraynerdrawing]

We don’t know that Pi is infinite!

[@alansands256]

I believe it IS infinite. See my reply under "tom01" comment.

[@froggyblocks]

Thanks man

[@shooraynerdrawing]

You're welcome!

[@vanhetgoor]

When I went to school it was explained in a manner that it could be understood, But not more then that, I still have a great question about π and that is, how is Pi calculated, where do all those number behind the comma (or decimal point in US) come from? It can not be that the π with so many decimals can be measured. What is the proper way to calculate and not measure?

[@shooraynerdrawing]

You need a mathematician 😀

[@정재희-v1y]

good news!

[@TheScientificPhilosopher]

Actually Aryabhatta, an Indian mathematician discovered the value of Pi 2,700 years before Archimedes in 2950 B.C in his book Aryabhatiya. Kindly the correct the statement. This is the link for more information about Aryabhatiya - en.wikipedia.org/wiki/Aryabhatiya

[@shooraynerdrawing]

His method was like pulling out lottery numbers. Archimedes did it with geometry

[@TheScientificPhilosopher]

@@shooraynerdrawing What?! Aryabhatta did it with Geometry, he didn't just solved it like a lottery number as said, he had far more knowledge of maths than Archimedes. Modern maths is a part of Indian mathematics but in a very different form. We say that -1 is bigger than -5 but according to the founder of the number zero namely Bhramagupta said that -1 is smaller than -5 with an example that negative integers are the opposite of positive integers like height and depth, hot and cold, big and short. So, this means that the depth of a hole in a ground will called as a negative integer, which will represent that -1 is smaller than -5. This means that the rules of positive integers can be applied to the negative integers, the only difference is that negative integers have the opposite unit of the positive one's or else everything is the same. By the way, if you think that ancient Indian sages only did rituals, then you are wrong they are the most analytical and scientific people the world ever had because the rules given by the sages are not just superstition, they are pure science but they are framed like a superstition. Zero is not only a placeholder, it is very important in multiplication and other mathematical operations. I am grateful to you for having patience reading this comment.

[@PRINCE-ki6kq]

@@shooraynerdrawing but he did found

[@PRINCE-ki6kq]

@@shooraynerdrawing Archimedes is not as great as Aryabhatta. He was just a baby

[@hmwndp]

That book is dated to about 510. Where in the world did you get 2 950 BC from?

[@donaldduck6122]

damn the part where he explained how pi came to be blew my mind

[@gray3589]

(⁠ ⁠ꈍ⁠ᴗ⁠ꈍ⁠) Makise Kurisu sugoi.

[@gray3589]

In time, go back

[@YellowMustard_]

I can’t tell if I was watching an art tutorial or a math explanation

[@shooraynerdrawing]

a bit of both! 😆