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Question
In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
Solution
Area of the shaded region = Area of Square ABCD − (Area of semicircle APD + Area of semicircle BPC)
`=(14)^2 = [1/2 pi(14/2)^2 + 1/2pi(14/2)^2]`
`=(14)^2 - 22/7(7)^2`
= 42 cm2
Hence, the area of the shaded region is 42 cm2.
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