Pi Times Phi using a Regular Icosagon Area (visual proof) скачать в хорошем качестве

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. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks! 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 ...   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... ). #math​ #manim​ #visualproof​ #mathvideo​ #geometry #mathshorts​ #geometry #mtbos​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #proof​ #iteachmath #icosagon #area #dissection #trigonometry #polygon #sine #pi #goldenratio #phi #goldentriangle #inequality #area To learn more about animating with manim, check out: https://manim.community