Circle Area (classic visual proof)

This is an animation of a classic visual proof showing how to find the area of a circle by using more and more wedges and arranging them in a rectangle.

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This proof can be traced to both Satō Moshun and Leonardo da Vinci (see Smith, David Eugene; Mikami, Yoshio (1914), A history of Japanese mathematics, https://archive.org/details/historyof..., page 130-132 and Beckmann, Petr (1976), A History of Pi, St. Martin's Griffin, page 19).

You can also read more about this in a great NYT article by Steven Strogatz: https://archive.nytimes.com/opinionat...

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

Here is the source code for this animation: https://github.com/Tom-Edgar/MVPS/blo...


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Music in this video:
Epic Adventure Cinematic Music | MOVIE by Alex-Productions | https://onsound.eu/
Music promoted by https://www.free-stock-music.com
Creative Commons Attribution 3.0 Unported License
https://creativecommons.org/licenses/...