A circular arc of length 19 feet subtends a central angle of 5 degrees. Find the radius of the circle in feet. (Note: You can enter π as 'pi' in your answer.)

Question

A circular arc of length 19 feet subtends a central angle of 5 degrees. Find the radius of the circle in feet. (Note: You can enter  as 'pi' in your answer.) 

Answer 1

Circular ARC lengths are given by

s = rθ, where r is the radius and theta the central angle in radian units.

Given s = 19 feet, and θ = 5 degrees or (5•π)/180 radians, the radius of the circle in feet, r, is

r = (s/θ) = (19/((5•pi)/180) = 684/π feet