Question

Find the area of the green sector is angle A = 45 degrees and the circle has a radius of 10 inches.

Answer 1

Solution:

The given values in the question are

$\begin{gathered} \angle A=45^0 \\ r=10in \end{gathered}$

Concept:

The area of a sector is given below as

$A_{\text{sector}}=\frac{\theta}{360}\times\pi r^2$

By substituting the values, we have

$\begin{gathered} A_{\text{sector}}=\frac{\theta}{360}\times\pi r^2 \\ A_{\text{sector}}=\frac{45}{360}\times\pi\times10^2 \\ A_{\text{sector}}=\frac{4500\pi}{360} \\ A_{\text{sector}}=\frac{25\pi}{2} \end{gathered}$

Hence,

The final answer is OPTION D