Chapter 3 - Section 3.4 - Arc Length and Area of a Sector - 3.4 Problem Set - Page 155: 29

$\approx480$ ft

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: $s=r\theta=125(220)\pi/180=\frac{1375\pi}{9}\approx480$ ft