Question

find the arc - length of a circle with the given radius r and central angle θ. give the answer in the given unit of measure. r = 45 ft; θ = 8 rad

Explanation:

Step1: Recall arc - length formula

The formula for the arc - length $s$ of a circle is $s = r\theta$, where $r$ is the radius and $\theta$ is the central angle in radians.

Step2: Substitute given values

We are given $r = 45$ ft and $\theta=8$ rad. Substitute these values into the formula: $s=45\times8$.

Step3: Calculate the result

$s = 360$ ft.

Answer:

360 ft