In the square ABCD with side 2A with the vertices of the square as centres and half the side of the square as radius 4 sectors have been drawn find the area of the shaded region
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area of shaded region = area of square - 4 x area of one quarter
=(side)2 - 4 x πr2/4
=(2a)2 - π a2
=4a2 - πa2
=(4 - π)2
=(4 - 22/7) a2
=28-22/7 a2
=6/7 a2
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