Question

In the given figure, APB and AQO are semicircles and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.

Answer 1

so for this figure, there are 2 semicircles APB and AQO

as AO=OB=r ( given)

Perimeter of shaded region = circumference of semicircle APB + circumference of semicircle AQO
40 =π( r +)

80 = 3 rπ
r= ...........1

Now Area of shaded region =


Putting value of r from 1

=

we get area of shaded region as 283.09