Answer
$169$ cm
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 $\theta$ radians.
Step 2: First, we need to convert the angle from degrees to radians, $135^{\circ}=135(\frac{\pi}{180})=\frac{3\pi}{4}$ radians
Step 3: Substituting the values of $r$ and $\theta$ into the formula, $s=r\theta=(71.9)(\frac{3\pi}{4})$
Step 4: Simplifying, $s=(71.9)(\frac{3\pi}{4})=169.4\approx169$ cm
