Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 104: 9

Answer

$2$ radians

Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where s is the length of the arc intercepted, r is the radius and $\theta$ is the central angle of measure in radians. Step 2: $s=r\theta$ Step 3: $20=(10)(\theta)$ Step 4: Multiplying both sides by $\frac{1}{10}$, $20\times\frac{1}{10}=10\times\theta\times\frac{1}{10}$ Step 5: $\frac{20}{10}=\theta$ Step 6: $\theta=2$ radians
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.