Circular motion problems deal with concepts like gravity and centripetal force. Whether it is a moon orbiting around a planet where gravity provides the centripetal force, or a weight on a string swung in a circle, where tension provides the centripetal force, you can find out all you want to know about the motion of these objects with just a few simple equations.
Scientists at NASA use the laws of circular motion to calculate a trajectory when launching space missions. Civil engineers use circular motion equations when designing highways to make sure that cars traveling at a certain speed limit will be able to travel safely, and not skid off the road if a curve is too sudden.