find the area of the larger sector.
round your answer to the nearest hundredth.

Question

Accepted Answer

# Explanation:
## Step1: Recall the sector - area formula
The formula for the area of a sector of a circle is $A=\frac{\theta}{360}\times\pi r^{2}$, 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, $\theta = 221^{\circ}$ and $r = 5$ ft.
## Step3: Substitute the values into the formula
$$
\begin{align*}
A&=\frac{221}{360}\times\pi\times(5)^{2}\
&=\frac{221}{360}\times\pi\times25\
&=\frac{5525\pi}{360}\
\end{align*}
$$
## Step4: Calculate the numerical value
$$
\begin{align*}
A&=\frac{5525\times3.14}{360}\
&=\frac{17348.5}{360}\
&\approx48.19
\end{align*}
$$

# Answer:
$48.19$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the sector - area formula

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

Step3: Substitute the values into the formula

Step4: Calculate the numerical value

Answer: