Gardner's Problem

A red metal sheet has the shape of a two-foot square with semicircles on opposite sides. If a disk with a diameter of two feet is removed from the center, what is the area of the remaining metal?

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Reference
[1] M. Gardner, The Colossal Book of Short Puzzles and Problems, (D. Richards, ed.), New York: W. W. Norton & Company, 2006 p. 109.
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