Solution:
For any circle, the circumference i.e. the distance around the circle is 2Ï€r where r is the radius. So there are 2Ï€ radius lengths around a circle. There are 2Ï€ radians in a circle.
Now, note that the radius is 19 in and the ac length is 10 in. So the central angle measures
[tex]\frac{10}{19}[/tex]
