Chapter 6.1, Problem 3CFU

To determine

To find: radian measure of central angle.

Answer to Problem 3CFU

  $1.25\text{ radians}$

Explanation of Solution

Given information:

  $\begin{array}{c}s=10\text{ inches}\\ r=8\text{ inches}\end{array}$

Calculation:

The central angle $\left(\theta \right)$ is evaluated as follows:

  $\begin{array}{c}s=r\theta \\ \left(10\right)=\left(8\right)\theta \left[\text{Put the value of }s\text{ and }r\right]\\ \theta =\frac{10}{8}\\ =1.25\text{ radians}\end{array}$

Thus the central angle is $1.25$ radians.