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You say you want a revolution... (Posted on 2004-06-27) Difficulty: 3 of 5
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?

See The Solution Submitted by SilverKnight    
Rating: 2.7500 (4 votes)

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Solution I think... | Comment 8 of 12 |

 1 if we talk about the revolution the circle itself made cause the center of the small just rolls one around the center of the big. 3 if we talk about the movement of the dots wich are in the circunference itself, I mean to end a cycle, an orbit, etc, it takes a dot of the circunfere move the lenght of it (the circunference) in the circunference, in that case moving 2 ends a revolution. Cause the lenght of the big one is 6 you need 3 revolutions of the small one to  end one roll. It's obvious that it's the same outside and inside cause its the same distance.  

  Posted by Cesar Ali on 2004-06-30 11:17:55
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