This is a short, animated visual proof demonstrating that the area of the regular 2n-gon inscribed in a circle of radius r is equal to one-half the product of r and the perimeter of the regular n-gon inscribed in the same circle. We finish with a bonus proof that the area of a circle is one-half the product of its radius and its circumference. #math #geometry #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #polygons #regularpolygon #circlearea #area #perimeter #mathshorts #mathvideo
This animation is based on a visual proof by Roger B. Nelsen from his second compendium of visual proofs:
Proofs without Words I by Roger B. Nelsen (MAA, 2000) ([ Ссылка ])
To learn more about animating with manim, check out:
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Music in this video:
Only Memories Remain by Hayden Folker | [ Ссылка ]
Music promoted by [ Ссылка ]
Creative Commons Attribution 3.0 Unported License
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