Suppose we have a square inscribed in a semicircle. What is the ratio of the area of that inscribed square to the area of the semicircle? We'll go over how to solve this fun geometry puzzle in today's video geometry lesson!
We'll use the Pythagorean theorem, as we often do. You can find a video of me eating bugs while proving the theorem here: https://www.youtube.com/watch?v=rw-OIl0RHpg
We just have to remember a bit about right triangles, circles, and the radius of a circle in order to solve this problem!
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
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+WRATH OF MATH+
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