Скачать или смотреть Pi Times Phi using a Regular Icosagon Area (visual proof)

In this video, we use a golden triangle to find the area of a regular icosagon sitting inside of the unit circle (the circle with radius 1). From this area formula, we are able to then find an interesting bound on the product of two famous constants: Pi and the golden ratio.

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If you like this video, you might enjoy this compilation of four visual proofs finding the area of a regular dodecagon inscribed in the unit circle:    • Area of a Regular Dodecagon | Proofs witho...  

This animation is based on a visual proof by Roger B. Nelsen from a recent issue of The College Mathematics Journal (https://doi.org/10.1080/07468342.2024... ).

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