Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding: 89

Answer

$s=14.661$ yards $A=87.965$ square yards

Work Step by Step

The angle must be in radians for each of the formulae used below.To convert from degrees to radians, the answer in degrees must be multiplied by $\frac{\pi}{180}$. Therefore $70°= 70 \times \frac{\pi}{180}$ $=\frac{7\pi}{18}$ radians $s=r\times\theta$ $s=12\times\frac{7\pi}{18}$ meters Therefore $s=14.661$ yards $A=\frac{1}{2}\theta r^{2}$, where the angle, $\theta$ measured in radians $A=\frac{1}{2}(\frac{7\pi}{18}) (12)^{2}$ $A=87.965$ square yards
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