Question

Find the area of the shaded sector.

Answer 1

Given that,

Radius of the circle, r = 8.91 cm

Angle, $\theta=81^{\circ}$

To find,

The area of minor sector.

Solution,

The formula for the area of minor sector is given by the formula as follows :

$A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{81}{360}\times \pi \times (8.91)^2\\\\A=56.11\ \text{cm}^2$

So, the area of the shaded sector is $56.11\ \text{cm}^2$.