Kyle has a bicycle whose central gear has a radius of 3 inches. The gear on the rear wheel, which is connected to the central gear by a bicycle chain, has a radius of 1.5 inches.
Part A: What distance would the chain travel if the central gear was rotated 225°? Explain your answer.
Part B: What degree of rotation would the gear on the rear wheel undergo during the rotation described in Part A? Explain your
answer.
Part C: How would the degrees of rotation change if the radius of the central gear was 6 inches and the radius of the gear on
the rear wheel was 2 inches? Explain your answer.
Part D: Using your previous work, describe the relationship between the degrees of rotation of two gears based on their radii.