Question

Calculate the area of the shaded sector given the central angle.

Answer 1

$\begin{gathered} \text{Area of a sector(A) =}\frac{\theta}{360}\times\pi r^2 \\ A\text{ =}\frac{45}{360}\times\pi\text{ }\times10^2\text{ } \\ A=12.5\pi in^2 \end{gathered}$

Hence, the area of the sector is 12.5pie inches squared.