If there is an exact copy of the bigger Ferris wheel, then the smaller will be the same as the bigger one.
Rather they should be congruent to each other, just the size will differ.
The central angles will be the same as suppose if there are 6 compartments in bigger wheel, then smaller will also have 6 compartments (being replica). Both will have degrees central angle.
If you were making a replica ferris wheel it would be similar to the larger ferris wheel. This means that all the angles would be the same. If the angles were the same, the arc measures would also be the same.