Question

7 cm
P
7 cm-> 013 cm
)
Fig. 13.95
Fig. 13.96
36. In Fig. 13.96, PSR, RTQ and PAQ are three semi-circles of diameters 10 cm, 3 cm and 7 cm
respectively. Find the perimeter of the shaded region.
(CBSE 2014]​

Answer 1

Answer:

Step-by-step explanation:

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

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

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

Perimeter of shaded region = perimeter of semicircle PSR + perimeter of semicircle RTQ + perimeter of semicircle PAQ

And we know that perimeter of a semicircle =   \pi * r

Required perimeter =   \pi  * 5 cm +  \pi  *1.5 cm +  \pi  * 3.5 cm