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If the area of the white colored region in the figure is (Pi*R^2)/X then find the value of X?

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A quarter-circle with radius R is drawn. Inside it, two semicircles and a circle are drawn as shown in the below figure. If the area of the white colored region is (Pi*R^2)/X then find the value of X?

enter image description here

posted Apr 25, 2016 by Tapesh Kulkarni

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