Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 104: 14

$11.9$ ft

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 values of the question into the formula, $s=(3.24)(\frac{7\pi}{6})$ Step 3: Simplifying, $s= \frac{189\pi}{50}=11.9$ ft