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 113: 61d


$672$ ft$^{2}$

Work Step by Step

The area of each sector formed by consecutive spokes can be found using the formula $A=\frac{1}{2}r^{2}\theta$ where $r=76$ ftand $\theta=\frac{2\pi}{27}$ radians: $A=\frac{1}{2}r^{2}\theta=\frac{1}{2}(76)^{2}(\frac{2\pi}{27})=672.07\approx672 ft^{2}$
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