Question

Find the area of the shaded region in each of the following figures.​

Answer 1

Step-by-step explanation:

2 fig- ar(shaded region)=ar(big semicircle) -ar(of the two small semicircles)

ar(semicircle) = πr^2/2

Big semicircle

d=21m

r=21/2 or 10.5m

Area= π×10.5×10.5/2

= π 110.25/2

= 55.125π

Small semicircles

As the diameters of both the semicircles are equal,i.e.,7m...this implies it forms a circle of diameter 7m and radius 3.5m

so, ar(circle) = π r^2

= π×3.5×3.5

=12.25π

Ar(shaded region)= 55.125π-12.25π

= 42.875 π

= 42.875×22/7

= 134.75m

Done. Hope it helps!