Trigonometry
posted by John .
Your horse on a merrygoround is 18.3 m from the center. Suppose the merrygoround makes 12.4 rev per ride. If you take 3 rides, through what angle do you move and how many meters do you travel?

12.4rev/ride * 3rides = 37.2 Revs.
A = 37.2rev * 360Deg/rev = 13,392o =
233.6 Radians.
Circumference=pi*2r = 3.14*36.6=114.92
m.
d = 37.2rev * 114.92m/rev = 4275.2 m.
traveled.