Find the radian measure of the central angle

Question

Find the radian measure of the central angle 𝜃 given a radius of 6 ft and an arc length of 80 ft transcribed by 𝜃. (Round to 2 decimal places)

Answer 1

angle times radius = arc length

arc length divided by radius = the angle (measured in radians)

Angle A = 80/6 = 13 1/3 radians =

13.33 radians rounded to 2 decimals

or 4.24 pi