Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.2 - Radians and Degrees - 3.2 Problem Set - Page 135: 105

Answer

(b) 2.5

Work Step by Step

The formula to be used here is $s=r\theta$ where $s$ is the arc length, $r$ is the radius of the circle and $\theta$ is the angle subtended at the center of the circle. Since we need to find $\theta$, $s=r\theta$ is rearranged to $\theta=\frac{s}{r}$. Substituting the values of $s$ and $r$ in the formula: $\theta=\frac{s}{r}=\frac{20}{8}=2.5$ radian Therefore, the answer is option (b).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.