DK-GEORGMOHR 2013 Problem 2
The figure shows a rectangle, its circumscribed circle and four semicircles, which have the rectangle's sides as diameters. Prove that the combined area of the four dark gray crescentshaped regions is equal to the area of the light gray rectangle.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Georg Mohr Contest 2013 official paper, page 1.
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