Question

find the length of an arc that subtends a central angle of 4 rad in a circle of radius 4 mi.

Explanation:

Step1: Recall arc - length formula

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

Step2: Substitute given values

Given $r = 4$ mi and $\theta=4$ rad. Substitute these values into the formula: $s=4\times4$.

Step3: Calculate the arc - length

$s = 16$ mi.

Answer:

16 mi