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Rollin' Rollin' Rollin'

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two circles of equal radius touch at the point P. One circle is fixed whilst the other moves, rolling without slipping, all the way round.

How many times does the moving coin revolve before returning to P?

What happens if the radius of the moving circle is half that of the fixed circle? Can you generalise your results further?

circle rolling around another

Use this Flash Interactivity to help.

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Here are two related problems you might like to take a look at:
Rolling Around
Is There a Theorem?