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 : [ Ссылка ]
For more information about this construction, see
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or check out this nice survey article by David Richeson from the May 2015 issue of The College Math Journal: [ Ссылка ] .
Here is an alternate way to find the area of the circle using the method of exhaustion: [ Ссылка ]
#math #manim #visualproof #proofwithoutwords #circle #circlearea #archimedes #radius #area #areaofcircle #pi #piday #shorts #circle #archimedes
To learn more about animating with manim, check out:
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Music in this video:
Heartwarming by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. [ Ссылка ]
Source: [ Ссылка ]
Artist: [ Ссылка ]
