find the length of the arc intercepted by a central angle of

find the length of the arc intercepted by a central angle of 200° in a circle of radius 3 mi. Round to two decimal places if necessary.

Solution

Theta=200° =200pi/180=10pi/9

arc length,s= radius,r * theta

s=3 *10pi/9 =10pi/3 =10.47mi

Therefore the intercepted arc length=10.47mi