a high way curve is to be laid out on a circle. what radius should be used if a trailer truck is to change direction by 28 degrees in a distance of 112 meters?

Answer 1

arc = rØ , where Ø is in radians
28° = 28(π/180) radians = appr

112 = r (28(π/180))
r = 112(180)/(28π) = appr 229.2 m

or

112 must be 28/360 of the circumference of the circle
(28/360)(2πr) = 112
56πr = 112(360)
r = 112(360)/(56π) = appr 229.2