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I have a hard question from my math book.here it is,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? Show your work.

Guest Jan 3, 2018

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Best Answer

a) It will make a dotted line (or if the bike is not traveling straight, a dotted curve).

b) It will travel the circumference of the wheel between each mark.

The circumference of the wheel = 2pi * 46 cm = 92pi cm

c) 1 km = 1,000 m = 100,000 cm

100,000 / (92pi) ≈ 345.989

Depending on where the paint was on the wheel to begin with, there will be either 345 marks or 346 marks.