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: 16

Answer

$169$ cm

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 on a circle of radius $r$ by a central angle of $\theta$ radians. Step 2: First, we need to convert the angle from degrees to radians, $135^{\circ}=135(\frac{\pi}{180})=\frac{3\pi}{4}$ radians Step 3: Substituting the values of $r$ and $\theta$ into the formula, $s=r\theta=(71.9)(\frac{3\pi}{4})$ Step 4: Simplifying, $s=(71.9)(\frac{3\pi}{4})=169.4\approx169$ cm
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.