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 109: 4

Answer

$r=8$ units

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: $14\pi=(r)(\frac{7\pi}{4})$ Step 4: $14=(r)(\frac{7}{4})$ Step 5: Multiplying both sides by 4, $14\times4=r\times\frac{7}{4}\times4$ Step 6: $56=7r$ Step 7: Therefore, $r=8$ units
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