Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 110: 17


$5.05$ m

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 measure $\theta$ radians. Step 2: First, we need to convert the angle from degrees to radians, $60^{\circ}=60(\frac{\pi}{180})=\frac{\pi}{3}$ radians Step 3: Substituting the values of the question into the formula, $s=(4.82)(\frac{\pi}{3})$ Step 4: Simplifying, $s= \frac{241\pi}{150}=5.05$ m
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