Question

What is the area of sector GPHthe area of the sector GPH is __ square yards. in exact terms of pi

Answer 1

The Solution:

Given:

We are required to find the area of the sector GPH.

The formula for the area of sector GPH is:

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ \\ \text{ In this case,} \\ \theta=40^o \\ r=radius=15yards \\ A=area=? \end{gathered}$

Substitute these values in the formula.

$A=\frac{40}{360}\times\pi\times15^2=\frac{15^2\pi}{9}=25\pi\text{ }yards^2$

Therefore, the correct answer is: