10. find the length of the bolded arc. round to the nearest hundredth. arc length = ft 14.5 ft 73°

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Accepted Answer

# Explanation:
## Step1: Recall the arc - length formula
The formula for the arc length $s$ of a circle is $s=\frac{\theta}{360}\times2\pi r$, where $\theta$ is the central angle in degrees and $r$ is the radius of the circle.
## Step2: Identify the values of $\theta$ and $r$
Given that $r = 14.5$ ft and $\theta=73^{\circ}$.
## Step3: Substitute the values into the formula
$$
\begin{align*}
s&=\frac{73}{360}\times2\pi\times14.5\
&=\frac{73\times2\times\pi\times14.5}{360}\
&=\frac{73\times29\pi}{360}\
\end{align*}
$$
## Step4: Calculate the value
$$
\begin{align*}
s&=\frac{2117\pi}{360}\
&\approx\frac{2117\times3.14159}{360}\
&=\frac{6650.746}{360}\
&\approx18.47
\end{align*}
$$

# Answer:
$18.47$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the arc - length formula

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

Step3: Substitute the values into the formula

Step4: Calculate the value

Answer: