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 Question from Bill: bill wants to put a 2 foot square peg into a round hole What must be the circumference of the hole?

Hi Bill,

Here is my diagram of a green square peg on a round hole.

By the symmetry $BC$ is a diameter of the circle. The angle at $A$ is a right angle. $|CA| = |AD| = 2$ feet. What is the length of $BC?$

Penny

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