Can You Solve A Problem That Stumped A Stanford Math Major? The Ratio Of Areas Of Squares

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I majored in math at Stanford, but this geometry problem stumped me and I had to look up the solution. A square is inscribed in a circle. A smaller square is drawn; one side is shared with the inscribed square, and the other two corners touch the circle. What is the ratio of the large square’s area to the small square’s area? This problem was asked during a job interview. I could not solve it; can you? Watch the video for a solution.

*Small correction: at 1:35 I said “small circle” but I meant “small square.”

My blog post for this video
https://wp.me/p6aMk-5fb

Source of problem
https://www.quora.com/What-is-the-trickiest-riddle-you-have-been-given-or-have-given-out-at-a-job-interview/answer/Leif-Walsh

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