Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Test - Page 138: 7a


$\theta=\frac{4}{3}$ radians

Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc intercepted on a circle of radius $r$ by a central angle of measure $\theta$ radians. Step 2: Substituting the data provided by the question into the equation, $(200)=(150)(\theta)$ Step 3: Multiplying both sides by \frac{1}{150}, $200\times\frac{1}{150}=150\theta\times\frac{1}{150}$ Step 4: Simplifying, $\theta=\frac{4}{3}$ radians.
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