Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 6 - Section 6.1 - Angle Measure - 6.1 Exercises: 54

Answer

$\displaystyle \frac{55\pi}{9}\approx 19.2$

Work Step by Step

The central angle subtended by the arc is $360^{o}-140^{o}=220^{o}$ To convert into radians, multiply by $\pi/180$. The length $s$ of an arc that subtends a central angle of $\theta$ radians is $ s=r\theta$. $s=5\displaystyle \cdot\frac{220\pi}{180}=\frac{55\pi}{9}\approx 19.2$
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