Question

In the below figure PSR RTQ and PAQ are three semicircles of diameter 10 cm 3 cm and 7 cm respectively find the perimeter of the shaded region.​

Answer 1

Answer:

The perimeter is 9.42 cm.

Step-by-step explanation:

Find the radius of the semicircles in diameters.

Radius = 1/2 x diameter.

Radius of semicircle PSR = 1/2 x 10 =5 cm.

Radius of semicircle RTQ = 1/2 x 3 = 1.5 cm.

Radius of semicircle PAQ =1/2 x 7 = 3.5 cm.

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

=$[1/2* 2\pi (5)] + [1/2*2\pi (1.5)] - [1/2* 2\pi(3.5)]$

= $\pi *(5+1.5-3.5)$

=3.14 x 3

=9.42 cm.

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