Answer
$\frac{100}{\pi}$ meters
Work Step by Step
Following example 2, the formula $s=r\theta$ requires the angles to be in radius. $\theta$ is currently in degrees, so we need to multiply it by $\pi/180$ to obtain it in radius.
Hence here the arc length: $s=r\theta\\75=r(135)\pi/180\\r=\frac{100}{\pi}$