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Four equal circles are described at the four corners of a square so that each touches two of the others. The shaded area enclosed between the circles is

Since the circles touch each other as well as the square, the side of the square will be the sum of diameters of two circles= 2d=4r The radius of the circle is r cm The area of the square - area of the four circles= 24/7 sq.cm -4π=24/7 16-4π24/7 4(4-π)=24/7 4-π6/7 7/6(4-π)=1 14/3=1 =1 ⇒r=1cm