Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 6 - Review - Exercises - Page 527: 12

Answer

$$A \approx 18151 \space ft^2$$

Work Step by Step

Formula for the area of a circular sector: $$A = \frac 12 r^2 \theta$$ r = radius = 5 m $\theta = angle = 52 ^o$ - In order to substitute the values into the formula, the angle must be converted from degrees to radians: $$52^o \times \frac{\pi}{180} = \frac{52 \pi}{180} $$ Substituting the values into the formula: $$A = \frac 12 (200 \space ft)^2(\frac{52 \pi}{180}) \approx 18151 \space ft^2$$
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