Question

find the arc - length of a circle with the given radius $r$ and central angle $\theta$. give the answer in the given unit of measure.
$r = 29$ in.; $\theta = 6$ 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

Given $r = 29$ in and $\theta=6$ rad, we substitute into the formula: $s=29\times6$.

Step3: Calculate the result

$s = 174$ in.

Answer:

174 in