Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.1 - Angles and Radian Measure - Concept and Vocabulary Check - Page 532: 9


The provided statement is false.

Work Step by Step

If $r$ is the radius of a circle and $\theta $ is the angle subtended at the center in radians and is non-negative, then the length of the arc $s$ is given by $s=r\theta $ However, in the provided statement, the angle $\theta $ is given in degrees and $s$ is calculated by that value only. Therefore, the statement “If $r=10$ centimeters and $\theta =20{}^\circ $ , then $s=10\cdot 20=200$ centimeters” is false.
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