Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.

Question

Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m. (Round your answer to two decimal places.)

s =  m

1. 
   

Answer 1

40/360= 1/9

C=pid=2pir= 2pi(17)= 34pi = the Circumference

34pi/9= arc length = about 11.8682

= about 11.87 m

or arc= radius times angle in radians =17 x 2pi/9

40 degrees = 2pi/9 = about 6.28/9 = .698 radians

radius x radians =

17 x .698 = about 11.866 = 11.87 m