Q15 of 805 Page 1

Find the perimeter of the shaded region in figure 4, if ABCD is a square of side 14cm and APB and CPD are semicircles. [ Use π = 22/7]

To find perimeter of shaded region(P)

Radius of semicircle is r = 7cm

Length (L) of side of square = 14cm

P = length of DPC + length of APB + length of AD + length of BC

[Since, DPC and APB are semicircles and Perimeter of semicircle = πr]

P = πr + πr + 14 + 14

= 2πr + 28

= 44 + 28

= 72 cm

Perimeter of the shaded region is 72cm

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