central angle measure

Question

Find the radian measure of the central angle of a circle of radius 27 that intercepts an arc length of 49pi.

Answer 1

radius = 27

arc length = 49pi

radius times radians = arc length

r x r = L

27 x r = 49pi

r = exactly 49pi/27 radians

= the angle = about 49(3.14)/27

= about 5.7 radians