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Question
In PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the perimeter of the shaded region. [Use π=3.14]
Solution
Radius of semicircle PSR = 1/2×10 cm= 5 cm
Radius of semicircle RTQ = 1/2×3 cm = 1.5 cm
Radius of semicircle PAQ = 1/2×7 cm = 3.5 cm
Perimeter of the shaded region = Circumference of semicircle PSR + Circumference of semicircle RTQ + Circumference of semicircle PAQ
`= [1/2xx 2π(5) + 1/2xx 2π(1.5) + 1/2xx 2π(3.5)] cm`
`= π (5 + 1.5 + 3.5) cm`
`= 3.14 xx 10 cm`
`= 31.4 cm`
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