A circle is placed inside a square so that all 4 corners touch the circle. What percentage of the circle is occupied by the square?

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mathematics

Imagine a perfect square drawn perfectly inside a circle, with each of the square's four corners resting precisely on the circle's edge. This arrangement presents a classic geometry problem, asking us to compare the sizes of these fundamental shapes. To determine what portion of the circle the square occupies, we need to calculate the ratio of their respective areas.

To simplify the calculation, let's assign 'r

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