Question

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

Answer 1

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}}=(\theta)/(360)*\pi r^2`

By substituting the values, we have

`\begin{gathered} A_{\text{sector}}=(\theta)/(360)*\pi r^2 \\ A_{\text{sector}}=(45)/(360)*\pi*10^2 \\ A_{\text{sector}}=(4500\pi)/(360) \\ A_{\text{sector}}=(25\pi)/(2) \end{gathered}`

Hence,

The final answer is OPTION D