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?

(In reply to re: No Subject, mmmmmm by Juggler)

This problem has been given a difficulty rating of 3, so the obvious answer must be wrong.  Maybe this one should be under "tricks" rather than "geometry."

Posted by Richard on 2004-06-27 14:39:10