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Construct a square. Construct 4 semicircles, each with diameter spanning...............what is the area shaded in blue?

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Construct a square. Construct 4 semicircles, each with diameter spanning the center of the circle to a corner of the square and whose arc is counterclockwise from its diameter. Shade in blue the region exterior to the square but interior to the semicircles and interior to the square but exterior to the semicircles, as shown below. If the square has a side length equal to 4,
what is the area shaded in blue?
enter image description here

posted Dec 31, 2021 by Vikram Luthra

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