Q. 183.7( 6 Votes )

In Fig. 4, PSR, R

Answer :


Radius of semicircle RTQ, r1 = 3/2 = 1.5 cm


Radius of semicircle PAQ, r2 = 7/2 = 3.5 cm


Radius of semicircle PSR, r3 = 10/2 = 5 cm


Perimeter of the shaded region = Circumference of semicircle(RTQ + PAQ + PSR)


We know that circumference of semicircle = πr


Perimeter = πr1 + πr2 + πr3


= π (r1 + r2 + r3)


= 3.14 (1.5 + 3.5 + 5)


= 3.14 (10)


= 31.4 cm


Ans. The perimeter of shaded region is 31.4 cm.


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