We can see that the area of the shaded area is equal to the area of the semicircle minus the area of the triangle inscribed inside.
The area of semicircle
= 0.5 * pi*r^2.
=0.5 *pi*(8)^2
= 32*pi
The base of the triangle is the diameter of the semicircle which is 16in. The height of the triangle is the radius of semicircle which is 8in. Therefore,
Area of triangle = 0.5 * base* height
= 0.5*16*8
= 64
Hence, shaded area
= 32pi — 64
= 36.53
Hence, shaded area is 36.53 in^2
