Question

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

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 \(\theta = 73^{\circ}\) and \(r = 14.5\) ft.

Step3: Substitute the values into the formula

$$
LATEXBLOCK0
$$

$$s=\frac{2117\pi}{360}$$

Step4: Calculate the numerical value

Using \(\pi\approx3.14159\), we have \(s=\frac{2117\times3.14159}{360}\)

$$
LATEXBLOCK1
$$

Answer:

\(18.47\) ft