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Question
Find the perimeter of the shaded region in the figure, if ABCD is a square of side 14 cm and APB and CPD are semicircles.
Solution
Permieter of shaded region = Length of the arc APB + Length of the arc CPD + Length of AD + Length of BC
`= 1/2xx2pi"r"+1/2xx2pir+14+14`
`=2pi"r" + 28`
`= 2xx22/7xx14/2+28`
=72cm
Hence, the perimeter of the shaded region is 72 cm.
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