Question

find the radian measure of the central angle $\theta$ given the radius $r$ and the arc - length $s$ transcribed by $\theta$.
$r = 17$ in.; $s = 10$ in.

Explanation:

Step1: Recall the formula

The formula for the radian - measure of a central angle $\theta$ is $\theta=\frac{s}{r}$, where $s$ is the arc - length and $r$ is the radius.

Step2: Substitute the given values

We are given that $r = 17$ in and $s=10$ in. Substituting these values into the formula, we get $\theta=\frac{10}{17}$ radians.

Answer:

$\frac{10}{17}$ radians