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: 18


$169$ 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
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