A circle is inscribed in a square, with a rectangle drawn from a corner of the square to a point on the circle, as shown. If this rectangle measures 6 inches by 12 inches, what’s the radius of the circle?

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With the information given we can draw a right triangle: We know that x = 12 and y = 6, so the Pythagorean theorem can lead us to discover that r is 30 inches. From the Wikibooks puzzle collection.