Q30 of 37 Page 13

In the given figure ABCD is a square whose each side is 14cm. APD and BPC are semicircles. Find the area of the shaded region.

Area of shaded region = Area of square ABCD


– Area of semicircle APD


– Area of semicircle BPC


Area of square ABCD


Given: Side of square = 14cm


Area of square = Side × Side


= 14 × 14


= 196 cm2


Area of semicircle APD


Diameter = AD = 14cm


So,





= 11 × 7


= 77cm2


Similarly, Area of semicircle BPC = 77cm2


Area of shaded region = Area of square ABCD


– Area of semicircle APD


– Area of semicircle BPC


= 196 – 77 -77


= 42cm2


Hence, area of shaded region is 42cm2


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