Find the length of the arc on the circle of radius 10 inches

Find the length of the arc on the circle of radius 10 inches that is subtended by a central angle of 120 degrees. (Round your answer to the nearest tenth. Label with proper units of measure.)

Solution

length of the arc on the circle is given by L = r * theta

given r = 10 in , theta = 120

L = (theta / 360 )* 2*pie*r = (120/360)* 2*pie*10 = 440/21 = 20.9523 inches