A circle with radius 1 rolls without slipping once around a circle with radius 3. How many revolutions does the smaller circle make?

Does it matter if the smaller circle rolls on the inside or outside of the larger circle?

The circle (with radius 1) makes one revolution.

It makes no difference whether rolling inside or outside the larger circle, since it rolls the same distance either way.

Posted by Ron Anthony on 2004-06-27 16:48:26