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?

3 rides = 3 * 12.4 = 37.2 revolutions
So, the angle moved is 2pi * 37.2 = ? radians
The distance traveled is 2pi * 37.2 * 18.3 = ? meters