Radian and Degree Measure

Question

Find the radian measure of the central angle θ given the radius r and the arc-length s transcribed by θ.

r = 3 in. ; s = 32 in.

____ rad

Answer 1

theta = s/r = arc length/radius = 32/3 = 10 2/3 radians

= about 10.67 radians

= about 3.4pi radians

= 32/3 x 180/pi = 32x60/pi = 1920/pi = about 611.15 degrees

Answer 2

s = rθ, in radians

32 = 3θ

Can you solve for θ and answer?