A bicycle tire has a spot of wet paint on it. The radius of the tire is 46 cm. Every time the wheel turns, the paint marks the ground.
a) What pattern will the paint make on the ground as the bicycle moves?
b) How far will the bicycle have travelled between two consecutive paint marks on the ground?
c) Assume the paint continues to mark the ground. How many times will the paint mark the ground when the bicycle travels 1 km?