Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 6 - Review - Concept Check - Page 526: 3

Answer

$(a)$ $s=r\theta$ $(b)$ $A=\frac{1}{2}r^2\theta$

Work Step by Step

$(a)$ The length $s$ of an arc that subtends a central angle of $\theta$ radians is simply $r\theta$, as we learned from the chapter $6$ $s=r\theta$ $(b)$ The are $A$ of a sector with central angle of $\theta$ radians is $\frac{1}{2}r^2\theta$. Also mentioned in the chapter. $A=\frac{1}{2}r^2\theta$
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