A wheel has a radius of 3.1 m. How far (path length) does a point on the circumference travel if the wheel is rotated through the following angles, respectively?

(a) 36°
m

(b) 36 rad
m

(c) 36 rev
m

1 answer

circumference = 2 pi r
= 19.48 meters

a) 36/360 = .1
.1 * 19.48 = 1.948 meters

b) angle in radians * r = distance
36 * 3.1 = 111.6 meters

c) 36 * 19.48 = 701