To make getting to BWI easier, we are going to use a shuttle service. We will get on the Baltimore Beltway (I-695) at exit 36, Philadelphia Road (MD 7) and take it over the Key Bridge to exit 7, the Baltimore Washington Parkway (MD 295). The length of the Baltimore Beltway is 51.6 miles. Assuming the Beltway was a perfect circle with a radius of 8.21 miles, and the angle between exits 7 and exit 36 is 2.54 radians, find the distance traveled (in other words the length of the arc).