Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3: 1

Answer

a. $8\pi m \approx 25.13m$ b. $\frac{55}{9}\pi m \approx 19.20m$

Work Step by Step

a. $r = 10m$ $\theta = \frac{4\pi}{5}$ $s = r\theta = 10m*\frac{4\pi}{5}=8\pi m \approx 25.13m$ b. $r = 10m$ $\theta = 110^\circ = \frac{110^\circ}{180^\circ}\pi=\frac{11}{18}\pi$ $s = r\theta = 10m*\frac{11}{18}\pi=\frac{55}{9}\pi m \approx 19.20m$
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