Math trivia : Coin roll another coin

One coin is fixed and another one is rolled and rotated one time so that it might not slide along with the circumference of the fixed coin.
How many rotations of the rolled coin were made?

Answer
Two rotations

It is easy to understand best to check rotation actually.


In order to calculate how many rotations of the coin, it becomes
(Length where the center of the coin moved) / (the length of the circumference of the coin). 

A coin 2cm in diameter rotates around a coin 2cm in diameter for example, the length where the center of the circle moved is 4cm × π and since the length of the circumference of the coin is 2cm × π, it can be calculated with two rotations.