Given a circle of radius r rolling around the outside of larger circle of radius R where R = 4r.
How many revolution with the small circle make in rolling around the large circle one time?
Give a mathematical explanation of your answer.
Click HERE for a GSP file to simulate the rolling movement.
Generalize. What if R = nr? How many revolutions of the small circle?
How many revolutions of the small circle if it rolls around the INSIDE of the large circle?
Build a GSP sketch to illustrate rolling a small circle around the inside of a larger circle.