In the figure below, the radius of circle A is 2 units, the radius of circle B is 3 units.
Starting from the position shown in the figure, circle A rolls around circle B (circle B remains stationary).
At the end of how many revolutions of circle A, will the centre of circle A be back at its starting point ??
Link to image:
http://i264.photobucket.com/albums/ii200/Burnleymoonbeam/circles2_zpsa7f10d41.gif