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 110: 21


The arc length doubles.

Work Step by Step

Arc length s (radius r, central angle $\theta$):$ \quad s=r\theta$, where $\theta$ is in radians ---------------- Before the radius increases, $ s_{1}=r\theta$. After $r$ increases to $2r$ (and the central angle remains the same), $s_{2}=(2r)\theta=2(r\theta)=2s_{1}$ The arc length doubles.
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