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GeometryHardOlympiad Geometry

Olympiad Geometry · Hard problem

The inside edge of a running track is a 100100 m by 6060 m rectangle with a semicircle attached to each 6060 m side (the semicircles have diameter 6060 m). The track is 1010 m wide all the way around, so its outside edge is the same kind of shape, 1010 m farther out everywhere. Find the area of the track. Leave your answer in terms of π\pi.