SciFiChess Math Quiz #7

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SciFiChess

This quiz was updated on December 31, 2019.

Problem 1) Start with a circle that has a radius of length 1. Circumscribe an equilateral triangle around the circle, and then circumscribe another circle around the triangle. What is the radius of the large circle circumscribed around the triangle?

Problem 2) Start with a circle that has a radius of length 1. Circumscribe a square around the circle, and then circumscribe another circle around the square. What is the radius of the large circle circumscribed around the square?