Answer
$71.4$ ft
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,
$330^{\circ}=330(\frac{\pi}{180})=\frac{11\pi}{6}$ radians
Step 3: Substituting the values of the question into the formula,
$s=(12.4)(\frac{11\pi}{6})$
Step 4: Simplifying, $s= \frac{341\pi}{15}=71.4$ ft
