Disc rolling on a Disc

A GOLD disc rolls without slipping around the edge of a SILVER disc.[br][br]If the discs are the same size, how many revolutions does the GOLD disc make as it rolls around the SILVER disc exactly once?[br][br]You may find the result surprising? Can you explain it?[br][br]What happens if the discs are not the same size – if the radius of the GOLD is half that of the SILVER? twice? three times?[br][color=#ff0000][i][b][br]What questions could/would you ask of your students based on this applet?[/b][/i][/color]

Information: Disc rolling on a Disc