Precalculus (10th Edition)

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

Chapter 8 - Applications of Trigonometric Functions - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 544: 38

Answer

$326.7$ square feet

Work Step by Step

$r=\frac{diameter}{2}=12.$ A sector with acentral angle measure of $100^o$ was removed, hence the angle covered by the tent will be $360^o-100^o=260^o.$ The area of sector can be computed by the formula: $K=\frac{\theta}{360}\cdot \pi \cdot r^2$,where $\theta$ is in degrees, Hence, $K_1=\frac{260}{360}\cdot \pi \cdot 12^2\approx326.7$ Square feet
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