In this short, wordless animation, we show one way to "find the area of a circle" using the method of exhaustion by unrolling successive circumferences of nested circular shells. In this manner, the circle area gets transformed into the area of a triangle with base 2pi times r and height r.

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To see an alternate (and quite viral) video showing this in stop motion, check out this one from ‪@MinutePhysics‬ :    • Proof Without Words: The Circle  

For more information about this construction, see
https://personal.math.ubc.ca/~cass/co...

or check out this nice survey article by David Richeson from the May 2015 issue of The College Math Journal: https://doi.org/10.4169/college.math.... .

Here is an alternate way to find the area of the circle using the method of exhaustion:    • Circle Area (classic visual proof)  

#math #manim #visualproof #proofwithoutwords #circle #circlearea #archimedes #radius #area #areaofcircle #pi #piday #shorts #circle #archimedes

To learn more about animating with manim, check out:
https://manim.community

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Music in this video:
Heartwarming by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...

Source: http://incompetech.com/music/royalty...

Artist: http://incompetech.com/