what is the area of sector gph?
the area of sector gph is □ square yards.
(type an exact answer in terms of π.)

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the area of a sector
The formula for the area of a sector of a circle is $A=\frac{\theta}{360^{\circ}}\times\pi r^{2}$, where $\theta$ is the central angle of the sector and $r$ is the radius of the circle.
## Step2: Identify the values of $\theta$ and $r$
From the problem, $\theta = 80^{\circ}$ and $r = 9$ yd.
## Step3: Substitute the values into the formula
Substitute $\theta = 80^{\circ}$ and $r = 9$ into $A=\frac{\theta}{360^{\circ}}\times\pi r^{2}$.
$$
\begin{align*}
A&=\frac{80^{\circ}}{360^{\circ}}\times\pi\times(9)^{2}\
&=\frac{2}{9}\times\pi\times81\
&= 18\pi
\end{align*}
$$

# Answer:
$18\pi$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the area of a sector

Step2: Identify the values of \(\theta\) and \(r\)

Step3: Substitute the values into the formula

Answer: