Answer
$\color{blue}{s\approx 169 \text{ cm}}$
Work Step by Step
RECALL:
The length of the arc $(s)$ intercepted by the central angle $\theta$ in a circle of radius $r$ is given by the formula:
$s = r\theta$, where $\theta$ is in radian measure.
Convert the angle to radians by multiplying $\dfrac{\pi}{180^o}$ to the angle measure to obtain:
$135^o=135^0 \cdot \dfrac{\pi}{180^o}=\dfrac{3\pi}{4}$
Use the formula above to obtain:
$s=r\theta
\\s=71.9 \cdot \frac{3\pi}{4}
\\s=169.4103838
\\\color{blue}{s\approx 169 \text{ cm}}$
