Answer the question first............

"If a circular wheel of radius 'r' rolls , then what is the distance that the centre of the circle traverses in the linear direction i.e parallel to the ground in one particular rotation.........?"

The answer is easy na............. You would say 2(pie)r...........!!!!!!!

Now answer a question asked by me in the following case as defined......

Assume a small circular wheel of radius 'r' is fixed centre to centre to a large circular circular wheel of radius 'R'. Now we rotate the larger wheel on the ground by one complete rotation. Thus also the smaller wheel that is fixed to it will turn by one rotation.
But in one rotation the smaller wheel should move by a distance of 2(pie)r
And in one rotation the larger wheel should move by a distance of 2(pie)R

AND >>>>>>>>> 2(pie)r IS NOT EQUAL TO 2(pie)R then how can the both wheels remain fixed together and turn by one rotation. They should have separated out in the way but it does not happen so. Then is our formula for distance
[2(pie)*radius of circle] WRONG......??????

What is actually happening......???
Solve it and reply back.............!!!!!!!!!!!!!!