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Problem 610

Inscribe a square in a circle.

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To inscribe a square in a circle with radius r, find the side length of the square using the Pythagorean theorem as \(s=\sqrt{2r^2} = r\sqrt{2}\). Draw the square with its vertices at the points (±r/√2, ±r/√2) on a coordinate plane with the circle's center at the origin. The square will be inscribed in the circle with each vertex touching the circumference.

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