Circle | area of circle का फॉर्मूला कैसे आया !! 😱 | upsc csat | maths

[@alfaproton]

Those who want to know how pi came, check my new short. Thanks for giving this much love for this video ❤

[@alfaproton]

kzbin.infoF5e8wLpdMPE?si=ZCiuGvu3qKGV7aWr

[@civilsshala]

❤❤

[@mobiletechsre]

❤

[@DushyantChaudhary-kk2wd]

👍👍

[@sugarbabe2312]

If you can make this with numbers you can calculate every number of pi

[@Prince0ctopus]

Better explanation = Better understanding = Better grades

[@Intervention217]

= Better Pizza = Papa John's

[@Prince0ctopus]

​@@Intervention217 = Better Body = Better Rizz

[@Noviano05]

@@Prince0ctopus = Bigger = Better = Stronger

[@JAYMAN-OG]

⁠@@Noviano05better power = better responsibility

[@Prince0ctopus]

​@@Noviano05 =Smaller = Worser😅 = Weaker

[@chicken]

Understanding the concept behind math formulas makes all the difference in learning and enjoying the subject.

[@sebbywebbywooah]

Hi

[@khaledmmg0]

I see you everywhere wth is that

[@oscarmade7294]

@@khaledmmg0same

[@Battle-s1]

I just saw you last video

[@JellyJellyJellyJelly]

bro fr me and u got same taste ong

[@xxx-v3p]

Maths is complicated❌ Maths is complex ✅

[@probably9380]

Maths is real ✅

[@yoU0Turn]

The prove is wrong though 😂

[@Daniel31216]

​@@yoU0Turn Proof* And this wasn't meant to be a formal proof.

[@oskiebadoskie]

No matter how well you explain it my dumbass will still spend 15 minutes on every question ✅

[@sputnik819]

3+2i

[@jimble2]

No words needed to be said. Explain in 60 seconds what took teachers 4 years

[@BananaPeeler-ot9vs]

No took my teacher a day nobody takes 4 years unless your including learning about base height, radius, circumference, multiplication, algebra etc etc

[@jimble2]

@BananaPeeler-ot9vs I am💀

[@ananas-nevermind]

dude yes

[@shkila1337]

are you in the special school?

[@jimble2]

@shkila1337 you ride the short bus

[@javishkoza11]

This is derived via integration

[@CrazyGamer-gc7sx]

Penetration 😅

[@CrazyGamer-gc7sx]

Penetration

[@angelhernadez5000]

Sort of, but not really. This was how the greeks did it during ancient times via by geometry. The Greeks obviously didn't understand the concept of calculus, so this is how they derived the area of a circle.

[@tfg601]

​@@angelhernadez5000no, this is integration.

[@angelhernadez5000]

@@tfg601 I just said it uses the idea but not directly. It doesn’t use an integral symbol to calculate the area of the circle. It was discovered by Archimedes using that method. Calculating the area using calculus isn’t limited to that subject, but also geometry. It’s just that both have different routes to get it said formula. One happens to be better in the end. However, the method that’s shown is using geometry from ancient times

[@A_Swizle]

The slices of pizza at the school party: 💀😭

[@julliustanguilan9688]

HELP... LMAO 😭💀💀

[@jordan9766]

‼️ 😂

[@GangaJoshi-h5g]

Damn

[@orangeisntsus5535]

UNDERRATED COMMENT

[@Ronxneo]

maximum*

[@YasHEDITS_3]

KZbin education:-🗿 School edication:-

[@adityasingh_1111]

It's literally in the NCERT maths book 7th or 8th class

[@aadityaadhanraj5834]

read some books school aint gonna teach everything

[@pipsuki]

easter island is a wonderful example of this. that documentary slaps

[@NOL_bm]

This is literally how I learned it from my relative scaled learning program in 3rd or 4th grade, I had no idea people weren't taught this until now

[@Lotfinoiri]

I know but this video explained everething in just 1 min​@@adityasingh_1111

[@DartagnanTheGreat49]

For those who dont know but are interested in advanced calculus, this is a visualisation of taking the double integral ∫∫rdrdθ across a domain D={(r,θ):0≤r≤a, 0≤θ≤2π}. By setting the parameters as polar coordinates the integral finds the sum of infinitely thin sectors rather than rectangles. Which gives you ∫½•a²dθ from 0 to 2π which gives you πa², the area of a circle radius a.

[@vigil4Jesus]

Mathematics is a language. Your comment reminded me of my Appa. God bless.

[@m4cssport]

I swear schools really dont want you to like maths maths is a art Edit: THX FOR THE LIKESSS ITS THE FIRST TIME I GET + 10 AND NOW I HAVE 2k

[@shawinyeshnavenkaya9637]

So is English 😪

[@hyronharrison8127]

How else you gonna work in a factory... Which I like to think is an average it job but whatever

[@Felipse]

​@@shawinyeshnavenkaya9637 not everyone is native, calm down

[@Nooo169]

Little homie school ain't gonna teach u gotta learn on ur own

[@corbeau-_-]

the problem usually is that mathematicians really don't like language.

[@chicken]

Mathematics is an art, complex and complicated, but understanding makes it easier to appreciate.

[@CowBoiMc]

Bro no way ur here too

[@zandarion]

i thought it was science?

[@Infi-Ikal]

ChatGPT ahh comment

[@ManrajSingh-ip9eu]

bro stawp stalkin me

[@Lee-One]

Bro shush 🤫 literal AI

[@Черепабло]

What I understood: If you make rectangle from circle, it's width will be radius and it's length will be p * r

[@bunnyphoenix2992]

I need to watch a couple of times more to understand 💀

[@SWI_alt_to_avoid_comment_ban]

p * r n

[@snaukball8764]

Yep, then the area of the rectangle is the area of the circle, so you get r•πr=πr²

[@SillyPersonX_X]

BROTHER?!

[@한다율-n5y]

Sukuna malevolent shrine had appeared.⛩️🔪

[@Cheese0517]

For a quick and simple explanation Basically the rectangle they made has a key part like the rectangle has the height and the base, the height is basically the radius and the base is the half of the whole area of the circle so thats π2r for ya

[@greenwiener]

Thanks! Why is the circumference 2πr tho?

[@volentastudios4673]

For anyone who doesn’t understand, the base of a rectangle with the same area of a circle and a height equal with the radius of the circle will be half the circumference of the circle

[@kiss_.Shortcakez]

i love you

[@Speedmgeekitty]

Bro what

[@uioerywiter-g8w]

@@Speedmgeekitty go back to preschool

[@humansnotai4912]

​@@Speedmgeekitty I suppose you did not read calculus at school old fruit? I would suggest buying a book which covers Euclidean, non-Euclidean, differential, algebraic, projective, computational, discrete, and fractal geometry. All the best.

[@ryanmixsmith]

Amazing! Math is so cool!

[@humansnotai4912]

Great visual representation of 3.14159.

[@supershorts2937]

What school teaches : πr² What they dont teach:

[@Isairr112]

if you stopped you education in 3rd grade then probably true.

[@stharunraj528]

​@@Isairr112😂😂😂😂

[@supershorts2937]

@@Isairr112 who teaches the whole thing not my school Kiddo

[@gammerrrr]

​​@@supershorts2937Ull learn it after 10th in Physics, during Integration

[@supershorts2937]

@@gammerrrr I started XI months ago and completed the integration chapter no one said it to me 😭

[@Odurs]

Mathematics is beautiful and complex, but understanding makes it easier to appreciate. Learning and enjoying math is all about grasping the concepts behind the formulas.

[@alfaproton]

Well said!

[@deepanshusingh6401]

Maths in school 🤡 Maths in KZbin 😈

[@Ch_playz_official]

I think so you should open your ncert book first and then see

[@ivanademika2052]

This video just solved all my problems in life

[@evildude2135]

Thanks man I love how there's so much maths related stuff on KZbin now that's actually explaining what's happening when we're doing the formulas, I feel like having a fundamental understanding rather than just memorising the methods makes learning maths so much easier. I wish they'd actually taught these to us instead of just teaching how to solve the problems to do well in exams

[@alfaproton]

Glad you liked it!

[@Randomcar236]

Nerd 🤓🤓🤓

[@agentrubiks4386]

@@Randomcar236idiot u dont know shit

[@wildsupersage]

@@Randomcar236bro thinks being stupid is cool

[@Randomcar236]

At least smarter than you​@@wildsupersage

[@Professor_of_marketing_stock]

Explanation was literally awesome, brilliant and thanks for this much better explanation

[@AronTorras]

This way confusing is it really that hard to multiple 3.14 by the radius by the radius ?

[@someguy-hc8gi]

@@AronTorras there is a difference between calculating the area of a circle and understanding why it's that area.

[@MG-pw7jp]

Genius demonstration! I wish schools knew how to teach like that for more visual learners.

[@alfaproton]

Glad you liked it.

[@TheMadisonHang]

If you make a square of the radius, rSquared Times that by, pi, which is the ratio of the radius to half circumference of a circle 4 squares of the radius is the 4 quadrants 3.14 of those squares is the missing areas taken off Its the Ratio. Just a visual way to remember it

[@PhantomD3n4ikGD]

"You don't need to cram, you need to understand"

[@ilikestuff8218]

you can't understand if you don't remember

[@Ungabunga964]

Why learning math, physics and chemistry from KZbin hit different because there's edit❤

[@Khushi-qq3ks]

Yup

[@tanchokdewan9020]

Its geometric under math book... I use yo love geometry so much

[@Charlz100]

My brain ain’t awake yet to begin properly processing this, could someone like so I can come back later 🥲😂

[@demon_boi]

Sure homie 💯

[@_thekingofmonsters]

You can just save this video Stop begging for likes

[@sugoish9461]

Welcome back; now is later!

[@FACTSOFTHEGREATS]

Come dwag , but I am going to unlike this comment again , Stop begging for likes . Just save the vid already

[@CAPSLOCKS0N]

room temp iq

[@davidmiller6593]

A circle is basically an infinite sided polygon. Starting with a triangle, you can create any sided polygon by adding more equal length sides, from a triangle to a square to a pentagon to a hexagon and so on... Note that as the number of sides increase, the more the shape resembles a circle. Since the number of sides of a circle is technically infinite in a perfect circle, calculating the ratio of the width to the length of each side goes on... forever. Just like Pi.

[@Enikay13]

But the school prefers to force you to learn formulas that have no sense for you without explaining where they come from

[@Khushi-qq3ks]

This is the problem with school teachers. Some are good though.

[@aliasgerraghib2395]

You can’t get to understand every formula you learn, it is too advanced for you to learn how the formula is derived hence you just have to learn it

[@A2z..890]

​@@aliasgerraghib2395...no sense ..scholls had not even tried to do so.. thatswhy they think it's impossible

[@RudraRaut-tx2fy]

​@@A2z..890you will eventually get it why it is impossible to explain the derivations to lower grades students so for now just rott it

[@A2z..890]

@@RudraRaut-tx2fy it's possible.. But only when you are well taught from lower grades

[@SnehamPaul-cf8zs]

We can also integrate 2πr for the same result.

[@cr0ssed0ut419]

Is that not just circumference ??

[@Shertoloki]

​@@cr0ssed0ut419 when you will integrate the circumference (2πr) with respect to dr, you will get 2π(r^2/2) then result you will get will be πr^2....

[@cr0ssed0ut419]

@@Shertoloki oh mb LMAO I didn't see "integrate"

[@burzum8312]

@@cr0ssed0ut419how can integrating result in a circumference? Integrating always results in area.

[@carultch]

@@burzum8312 It's not integrating to result in a circumference, the circumference is the integrand. The result is the area, since you are integrating circumference times the infinitesimal increment in radius (the thickness of each circumference), and adding it up (integrating).

[@gbengaadekoya2068]

1st time watching video:🤔 2nd time watching video:😢

[@melodyajay5846]

3rd time watching video: 😪😴

[@knotwilg3596]

As a former math teacher and academic, I endorse this short visualization. It's indeed "nothing else than integration" but this type of rendition accelerates the intuition, which on a chalkboard (which was our visual device back in the day) is not so easy to do. You still need to prove the formula by rigorous analysis, but that will be so much easier to follow with this video in mind.

[@yasheebfaridi2888]

Actually this is derived using Calculus and integration. The Calculus concept also goes something like this where you take the arc length very very small that it tends towards 0. But not zero. That's called limit tends to zero and used in the integration.

[@notjx113]

True, (credits to another person, not me for this information) but calculus wasn't discovered during this time, yes your comment is true but not directly, Archimedes realized that when you divide the circumference of a circle by its diameter the result is always 3.14159 or the symbol we know today π and this is true for every single sphere in the universe, so a better way to say is that the formula for a circle is indirectly derived from Calculus, maybe Archimedes knew calculus before us, maybe not who knows 🤷🏻‍♂️

[@nasekiller]

@@notjx113 well, basically integration would be the modern formalized way to prove this.

[@Jerryhasbigbands]

i swear i learn more stuff on yt than in school 🤦🏾‍♂️

[@kajatinda870]

It's not inaccessible, just hidden behind the paywall of college tuition... so... pretty inaccessible to a lot of ppl. Community colleges are where it's at. Cheaper tuition and class schedules are more available to working folks.

[@Ardathian]

Accurate AF. And I’m like reasonable smart hahha

[@scatlar2]

honestly

[@efslgima]

this isnt even true though

[@leftistnpc5417]

School is designed to cultivate conformity, NOT an education.

[@brycenjoness]

Teachers when there’s a pizza party:

[@baldfloppa394]

i only saw this after i commented

[@swapnildewani8508]

Dude among the nerds

[@skye6817]

LMFAO

[@Ronaldo_theGOAT7917]

Finally some funny comment

[@The_महाराजा]

These are the ppl who comment"🤓🤓" on s funny vid

[@mxharma9]

Everyone is afraid of complex maths ❌ Complex is afraid of maths ✅

[@jenzelldulay]

How i think i solve math in school:😎😎😎 Vs How i actually solve math:🤡🤡🤡🤡🤡🤡🤡

[@CeleenasArtPresents7777]

This should've been in every school. Ever.

[@Dontreadmynameorelse]

Thanks for the video you found a way to confuse me even more

[@Highlightsmusic123]

😂

[@Anonymous....1889]

if you are 12 or older and don't understand this then trust me bro, you are gonna have some really serious problems with math later on

[@Dontreadmynameorelse]

I'm 17 and got a grade 7 in maths so what's ur point

[@danhumphrey8357]

@@Anonymous....1889You don’t really need the logistics of this video to pass math. You just have to apply it.

[@aritano491]

@@Anonymous....1889can you explain this to me? I only have a BA in math but this requires a PhD

[@proudtobemuslim624]

Better Explanation Without Words

[@waterfrommatthias5601]

I glided my way through school on cloud nine; the most you get from school are memories that blow away like the wind and old friends that move on.

[@behrBrumby]

Sheldon right now; “I already know this.”💀

[@VENUSGMFU]

aahhhh so FR

[@SwatiTomar-jy3ul]

Agar aise hi school me pdhate to confusion hi nhi hota kabhi❤

[@ElonTheAlone]

Nhi tu jindagi bhar circle ko kat te rehna

[@dontalks1060]

My school teaches this???

[@Moltensteel3]

8th class skip Mari thi kya

[@Shickelgruber]

Ncert Me thi bhai

[@rajkotalovic9784]

Sta pokazuje ovaj video ja sada nista ne razumem?

[@Bruhmynameisbob]

You can do the same thing by slicing smaller and smaller circles in the circle. As the number reaches closer to infinity when you slice the circle by the radius( like slice through half of the circle) you will get a triangle then if you have the formula for the area of of the triangle base*height%by two. When can understand that one side pi * 2 and one is radius to the power of 2. If we put this into the equation it is pi*2 plus r^2 then divided by 2 we can see that the area of the triangle is pi*r^2.Sorry if I have any mistakes

[@sureshrawat3534]

Thanks bro or confusion m dalne ke liye

[@yogeshrathod9989]

😂

[@alfaproton]

😂😂😂

[@A2z..890]

school me aisa padhaya nhi Gaya .to asli explanation dekh ke confuse hi hoge

[@Kindered_Soul]

Bhai tum toh ek dum khatam insaan ho abhi tumhe ek integration ka basic ques de diya jaye toh phat ke 36 ho jaye😂

[@Speed_198mph]

Learned more from this than i did in Algebra 2

[@DVD013009]

That’s because this is calculus

[@fabuxverchatura]

@@DVD013009 sounds like some boss fight

[@Manvi_974]

The beauty of maths😌

[@anjishnuacharya3819]

Started as a small kid learning 1+1=2 and now bigger sums like area of circle .Childhood is the best time , we dont even realise it and think too much homework and pressure.

[@AbençoaKarmita]

Our math is wrong, and we will not know how to travel the universe with accuracy, some one found the flower of life.. But the devil remake the image of god in his own image, we are doomed, full of distrations and we think we are gods nowdays

[@AbençoaKarmita]

Imagine u trust some one who tells u that nothing created everything 😂😂

[@AbençoaKarmita]

big bang made this, after all not 1 but many, the rabbit hole

[@CartooonZap]

The idea that cutting a circle into very small lines can somehow transform it into a rectangle is a misunderstanding of geometric principles. Let's explore this step-by-step to understand why it's incorrect. Conceptual Breakdown Circle Properties: A circle has a constant radius 𝑟 r, a circumference 𝐶 = 2 𝜋 𝑟 C=2πr, and an area 𝐴 = 𝜋 𝑟 2 A=πr 2 . Lines and Shape Transformation: Cutting a circle into very small segments (lines) does not change its inherent properties. The perimeter remains 2 𝜋 𝑟 2πr, and the area remains 𝜋 𝑟 2 πr 2 . Cutting it into segments can't change its shape to a rectangle without altering these properties. Visualizing the Misconception Segment Misinterpretation: Imagine cutting the circle into extremely thin pie-like slices. Each slice has a curved edge (part of the circle's circumference) and straight lines (radius). As you increase the number of slices, they resemble triangles more closely. Approaching a Rectangle: Even with infinitely many slices, you can rearrange them to form a shape that approximates a parallelogram, not a true rectangle. The curved edges never completely straighten. Mathematical Proof Circle and Rectangle Area: The area of a circle is 𝜋 𝑟 2 πr 2 . The area of a rectangle is length × width length×width. Inconsistency: If you claim to transform a circle into a rectangle, you'd need to show the area remains consistent. For a rectangle with one side equal to the circumference 2 𝜋 𝑟 2πr and the other side very small, the area wouldn't match 𝜋 𝑟 2 πr 2 . Understanding the Flaw Infinitesimal Limits: In calculus, when dividing a shape into infinitesimal parts, the sum of these parts approaches the original shape’s properties. Transforming a circle into a rectangle defies these principles since it ignores the continuous curvature. Alternative Approach: "Circle Slicing" Analogy An accurate analogy involves using the concept of "slicing" to approximate: Pi Approximation: Ancient mathematicians like Archimedes approximated 𝜋 π by inscribing polygons within the circle and increasing the number of sides. Integral Concept: The integral of the circle’s radius squared ( 𝑟 2 r 2 ) over the angle ( 𝜃 θ) from 0 to 2 𝜋 2π gives the area, adhering to the circle’s geometry. Conclusion To prove the misunderstanding: Geometric Principles: Reinforce that cutting a circle into small segments does not change its shape fundamentally into a rectangle. Area Consistency: Demonstrate that the areas do not match using mathematical formulas. Conceptual Limits: Highlight the flaws in thinking infinitesimal divisions change fundamental properties. Understanding these principles will help explain why a circle can't be transformed into a rectangle by merely cutting it into small lines.

[@jiajunjiang1242]

bro what?

[@AmikaofMan]

@@jiajunjiang1242 In mathematical and easy to understand terms. The digits in Pi go on forever, 3.1415926 blah blah blah. Thus, using this technique, that its Pi R squared, he is saying that we can never truly know the area of a circle, but we can a square, and that they aren't the same. Pi is our closest estimation we can get of the area of a circle using the same math as we would with figuring the area of a square, but using Pi also in the math. In his video, they guy shows that the area of a circle to be = to the area of a rectangle which is base X height which is technically WRONG, because in a circle, it's NEVER EXACT, unlike a rectangle. At least I hope that's what he may been getting at because it was alot of word salad to me also

[@DiogenesNephew]

​@AmikaofMan But ffs, we all understand the idea behind the video. Doesn't really matter if it's EXACTLY the same technically, right? Still gives someone good intuition.

[@AmikaofMan]

@@DiogenesNephew I agree completely. Even NASA only uses 14 digits of Pi in it's calculations and we have gone outside of our solar system with it. As I said, it's all semantics but it's also true. Still was a very good representation of the concept in the video. I'm not knocking it

[@RekhaGupta-d1y]

🤗

[@vanlock9]

This is present in almost every 4th - 5th grader's maths textbook I don't know how people are seeing this for the first time 😮

[@vanshikajood3576]

Not just in 4th 5th even in 9th or maybe 10th lab manual which compulsory for all students under cbse board has many of these type of activities. It's just ki log khud toh dhyaan se padhte nhi hai fir jab koi inki padhi books hi hi content daal de toh aire reactions dete 😂 it's funny and ironic

[@xi-w3ird0-ix]

maybe because like you we may not all be in 4th-5th grade and those books have changed a lot since we were in those classes (okay honestly im irish i have no clue how old 4th-5th grade is but i know its below my year lol also sry if this sounds rude)

[@truckkun2]

​@@xi-w3ird0-ix4th-5th grades are for 9-10 year olds.

[@viperlord487]

@@vanlock9these were never in my books in California

[@MercedesM3332]

I only learned how to calculate that in 10th grade, and it was never explained in any of our book or by the teacher

[@АлексейАнтипин-й5и]

No matter how u will split the circle into pieces, there will never be an actual rectangle made of them. Even if we're talking about millions of pieces. Every single piece will still be a figure with two equal sides, like a triangle, but the third side will NEVER be a straight line. It only makes a circle when the third side is curved. So, mathematically speaking, this "rectangle" isn't a rectangle at all, it's sides r made of thousands of curved arcs.

[@Croissant000]

I’m glad someone understands their math, I was looking through the top comments and you are the one person actually speaking the truth.

[@dominikjors169]

What do you think a circle is made of?

[@Aglassofwater67]

Its about splitting the circle into an infinite amount of pieces, not just any finite amount. It's not realistically possible, but mathematically speaking if there was in fact an infinite amount of pieces it could form a rectangle.

[@АлексейАнтипин-й5и]

@@Aglassofwater67 it depends on whether we are imaging a real perfect circle, which is technically impossible to get as a physical form, or a very smooth polygon, which looks like a circle for human's eyes. In first case it will be impossible to split it into triangles, even in case of truly infinite splitting, cuz it will still have curved side, just a measure of scaling. However, in the second case, which is way more possible, you can really split the circle into a finite amount of angles in such way, that every side of every single formed triangle will be straight line, so that it can be transformed into a rectangle

[@Jamescanon-ek6ho]

The internal angle of a circle is 180 degrees therefore straight line

[@bahan1-b1g]

For more technical approximation you can do it by using integral calculus.

[@纷]

This isn’t the explanation we got before? 😅

[@LynxOfLucidIty]

No

[@makihg4]

It’s what I got

[@Kai3964-s1x]

Its summer no more math until i get back in school

[@TBNAfrangsYT]

🤓Erm…What’s the difference between a bed and Big Chungus if 2 + 2 = 5 and your son who is older than you gave birth to a rainbow without the feet of a box?

[@Kai3964-s1x]

I lost all my braincells trying to read that

[@abhishek2676]

How you calculated circumference?

[@carultch]

Pi is defined as the ratio of circumference to diameter. So if you know the radius, you automatically know the diameter is 2*radius, and you therefore know the circumference is 2*pi*radius.

[@jessepletcher2706]

So at no point did they determine the value of pi

[@carultch]

@@jessepletcher2706 Computers have calculated pi to more digits than you could recite in your lifetime.

[@abhishek2676]

@@carultch You first calculate the circumference or the value of pi?

[@carultch]

@@abhishek2676 Historically, it was calculated by constructing regular polygons of extremely large numbers of sides, and finding the ratio of the perimeter to the cross-flats and cross-points "diameters". Archimedes did this with a 96-gon. This seems like the obvious way to do it, but it isn't very computationally efficient. In modern times, it's calculated with infinite series that converge to the value of arctan(x). When x = 1, arctan(x) = pi/4. So we can evaluate infinite series that add up to arctan(1), which allows us to always get more precision on the value of pi/4, which we can multiply by 4 to get pi. The best calculation by hand, achieved 620 digits.

[@Sikandar456]

One more way to do is imagining concentric rings, if you take these and stack them you geta triangle, woth base 2pir and height r, use traingle area formula you get pir2

[@AMbsjsbsjsblabsn]

Whoever understood this is a genius. I’m just vibing with the tune.

[@KaiizzerGodhand]

tune: memory reboot

[@Ronaldo_theGOAT7917]

Fr I didn't understand anything

[@MetalHeartGunner]

Someone isn't a genius for understanding basic math, more like you're an idiot for not caring about learning useful things, good night

[@studylife_-elns]

SO THIS IS WHAT MATHEMATICIANS FEEL LIKE

[@NdjcSenanayake]

It's called integration

[@kimhijisui802]

Was going to say it then I saw this comment

[@Anokosciant]

its not integrating at all, this proof uses 2 adjacent sequences that converges to 2rpi bounding the area

[@pinnerplay5435]

​@@Anokosciantyeah but gives the approx answer but integration is the accurate. You'll learn in 11th std brhh

[@sachinjain5367]

​@@pinnerplay5435isn't Integration In 12th Standard??

[@pinnerplay5435]

@@sachinjain5367 for physics u do need integration and differentiation

[@cambridge-c5p]

This is how our Amazing maths teacher explained it to us, shout out to Mr Ant ❤i did exceptionally well in math because of him

[@Pati_Smile24]

And teachers say that social media wont learn you anything, yet here we are

[@Robloxhahew]

This video is wrong though

[@GoonerJae123]

It is correct but just very useless

[@ItsAaronInDaHouse]

Clearly social media couldn’t “learn” you how to speak English.

[@Pati_Smile24]

@ItsAaronInDaHouse ik how to do it im js lazy

[@_thekingofmonsters]

​​@@Pati_Smile24 what You are using the wrong word cause you're too lazy? That makes no sense

[@Dizzeke]

bro just casually dropped the hardest math edit in human history

[@blackscreen148]

Excuse me do you know what"hardest math edit" even means

[@damiangradecki5544]

mathematics is beautiful, the problem is that some teachers cannot convey this knowledge in a nice way and many students say it is boring because they do not understand it

[@truckkun2]

Teachers aren't really supposed to explain formulas, cus they are complicated and probably won't make the students care more about the lesson cus in the end, area of a circle=pi×r²,which is the only important part in the explanation.

[@drakemitri3419]

@citytutoringmath this is why I love KZbin. Your channel and these visuals allow me to see and make connections brining math to life and also allowing me to understand why things are the way they are!

[@civilsshala]

Good one.❤

[@alfaproton]

Thanks ✌️

[@Atheist-Libertarian]

This is how maths must be taught. Mathematics is a beautiful subject.

[@JohnWilliams-gy5yc]

This concept should be taught at early age. It will trigger millions of young brains into mathematics.

[@sellursoul]

It will also make students familiarise more with Math… Cause right now I see this and I don’t understand anything 👍 My education system messed maths for me.

[@MetalHeartGunner]

It is taught in primary school, but teachers today suck at teaching and kids are encouraged to not give a fuck about school so by the time they're in their 20s they don't even remember they saw this at school

[@loland1231]

​@@sellursoulnah it's completely reasonable to not understand this because there's nothing to be understood. this video doesn't teach any math, it's just a demonstration without any rigor.

[@DiwyYyY]

We actually watched this in math class in the sixth grade when learning pi

[@ninaricci7643]

It takes a certain aptitude to understand it, at a young age it's hard to comprehend this

[@saurabhmishra8224]

Volume of Pizza = Pi.z.z.a where z is radius and a is height of crust

[@hazratmahtabi09]

saving this for my presentation called "WHY WE DON'T NEED SCHOOL"

[@NinjaWafiy]

Yeah sure, the teacher is gonna slap you.

[@NinjaWafiy]

BRO YOU ACTUALLY LEARN IN THIS IN SCHOOL AND I THINK YOURE PROBABLY 11 YEARS OLD. YOU WILL LEARN THIS. TRUST ME

[@quincybirwood2629]

This video is correct. A lot of stuff you see on YT is not. You need to learn the difference and that will be hard to do on your own.

[@Ogk7484-m9q]

That actually explains why pi is irrational too

[@3alaiyer]

How so

[@3alaiyer]

Oh because it can’t be multiplied ? But that’s not an explanation, that’s a result of

[@sakesaurus]

it really doesn't tho, pi could be one and not change when you square it

[@abarette_]

@@3alaiyer because you can _always_ cut a circle, so it can't be maximally cut, pi will always be an approximation if you only use rational numbers.

[@ThePaleoGuy-YT]

Although it's incredibally close, you can never get a perfect rectangle by doing that. It's impossible. We use the other formula because it's more accurate.

[@SeanLk]

It’s not a rectangle, the edges have slight bumps that will change its area. Measuring the rectangle will only give an approximate answer.

[@thatsme4024]

Already given in NCERT.. CBSE students knows it very well 😂.. Btw nice edit ❤

[@jhonkennedy6341]

This song has such a vibe

[@mackhomie6]

Stop talking like that

[@jhonkennedy6341]

.

[@mackhomie6]

@@jhonkennedy6341 like that, too

[@feddundas]

track id?

[@anasumar9552]

​@@feddundas Memory reboot slowed

[@yashsoni05]

So circles are just opened rectangles 😂 god damn it brooo

[@alfaproton]

You can see 🙈

[@Robloxhahew]

@@alfaprotonit’s wrong. The rectangle is never perfectly a rectangle, there will always be a slight curve. That means that this is not exact. There is a way of finding pi that is actually accurate. The video is wrong

[@MadhuraTilwankar]

Excellent!! Best explanation.. You should continue aploading vidios like this one.. I appreciate you.. 👌🎉👌

[@Hajimallago-z7d]

Isn't this what they normaly teach in middle school? (they taught me like this)

[@mohanaavinash683]

Who discovered this like formula are : 🗿

[@Communistsfsplayer]

Who discovered it's a slight parallelogram:🗿

[@Robloxhahew]

It’s wrong. The rectangle is never perfectly a rectangle, there will always be a slight curve. That means that this is not exact. There is a way of finding pi that is actually accurate. The video is wrong

[@DicetheIceCube]

Didn’t expect to learn about math from a KZbin short today

[@LightningStrike691]

This is how archimedes originally found the formula for the area of a circle. The proof for the formula is a geometric reductio ad absurdum argument and is pretty neat. Requires a lot of inscribed and circumscribed polygons.

[@jonatanpersson82]

You forgot to show/explain the cooelwt thing, pi is the relationship between the circumference and the diameter of a circle,if you lie the circumference flat is is ~3.14x larger than the diameter or pi times larger

[@BBQMikeD]

I was thinking was dumb at first but i actually got a really good understanding of it by the end. Nice work 👍

[@ShivanshiKaushik_21]

We all be shocked to know that this method is given with proper experiment in class 8 NCERT textbook...

[@brad5387]

To understand this, technically, you need to understand where C = 2pi*r comes from

[@biswajitnath3122]

Perfectly said

[@Leonardo-hy1fo]

Thing is, this method WAS very inefficient. It was to hard, and took waaaay to long to use. That’s why Newton made a formula to calculate pi

[@SamuelrajSam-m7v]

Nice explanation sir 🎉

[@alfaproton]

Keep watching। Glad you like this।

[@Katherine-qs8ws]

This is integration using polar coordinates. 0.5*r^2*d(theta)

[@CheepenLoo]

Archimedes of Syracuse (287-212 BC)

[@SengokuSogutama]

Wow, i understood more than what school taught me, thanks😊👍

[@robertmoore119]

I good teacher can explain the same concept in different ways. A good student knows when to ask the teacher when to explain a concept a different way.

[@KamranIqbal-c7l]

Amazing Explanation

[@bhupeshkosliya1579]

Everyone knows this very well , it will be good if you are able to explain how circumference is 2πr

[@thecoalcub6012]

This is the way that made the most sense to me: Lets say we have a circle and we walk 1 radius distance along the edge. If we continue walking along this circle you will come to the conclusion that you have walked about 6.28 or 𝜏 radiis of length when you make it all the way around. And 𝜏 is precisely equal to 2𝝅 hence we get the formula 2𝝅*r.

[@bhupeshkosliya1579]

Pi is not about this, Why do you say it 2πr , instead of this we can say it is some (constant × 1) and by mensuration we say it is 6.28 And if it is the real reason for the generation of π why you say it's value 3.14 instead of 22/7 , which is being irrational Explanation is given because before this area is estimated by calculas

[@thecoalcub6012]

@@bhupeshkosliya1579 Pi is the ratio between a circles diameter and its circumference. I think this is a misunderstanding due to a language barrier. I said its about 6.28, its actually 6.2831853071... (𝜏) and goes on forever because its irrational. Btw 22/7 is a rational number in case you didnt know.

[@premmishra5210]

Bahut sundar esi trh ke triangle and quadrant and prijm aadi ke video bnao bhai

[@alfaproton]

आपका कॉमेंट पढ़ कर अच्छा लगा। चैनल पर और भी ऐसे रोचक विडियोज है। आप उन्हें भी देख सकते है। आपका दिन शुभ हो। 😊

[@saraabdhalim5076]

Wow,Its amazing 😮

[@tkinker]

note: the equation doesnt say "(πr)²", rather just "π(r²)"

[@sana9578]

This helped me understand this equation more than I ever did in school

[@RacismIsUnderrated]

That is why I love math. Our teacher went into global math competition when he was in 12th grade. He is the best

[@hollitamas387]

Awesome - loved it

[@Abhinand-10]

Good video. But you could've also explained why Pi is there in the first place. It takes a similar explanation.

[@alfaproton]

Check the pinned comment or click on the related video mentioned below the channel name.

[@EdginLegend]

The more exact your rectangle, the more digits of pi applied.