# Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 110: 19

$55.3$ inches

#### 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: First, we need to convert the angle from degrees to radians, $210^{\circ}=210(\frac{\pi}{180})=\frac{7\pi}{6}$ radians Step 3: Substituting the values of the question into the formula, $s=(15.1)(\frac{7\pi}{6})$ Step 4: Simplifying, $s= \frac{1057\pi}{60}=55.3$ inches

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