Answer
$\approx687.2$ ft
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. The diameter of the wheel is $250$ feet, thus its radius is $125$ feet.
Hence here the arc length: $s=r\theta=125(315)\pi/180=\frac{875\pi}{4}\approx687.2$ ft