# Rolling Around

**Calculus**Level pending

A unit circle rolls around the circumference of a large circle of radius 4, as shown in the figure above. The epicycloid traced by a point on the circumference of the smaller circle is given by

\(x= 5\cos t- \cos 5t\) and \(y= 5 \sin t-\sin 5t\).

Find the distance traveled by the point in one complete trip about the larger circle.