Answer
We can rank the curves according to the radii of the merry-go-rounds:
$3 \gt 2 \gt 1$
Work Step by Step
Graph 3 shows a faster linear speed than graph 2, but the same angular speed. Therefore, the radius of merry-go-round 3 is larger than the radius of merry-go-round 2.
Graph 1 shows the same linear speed as graph 2, but a faster angular speed. Therefore, the radius of merry-go-round 1 is smaller than the radius of merry-go-round 2.
We can rank the curves according to the radii of the merry-go-rounds:
$3 \gt 2 \gt 1$
