Question

On a merry-go-round, you stand 15 feet from the center while your friend stands 10 feet from the center. How would you find how much further you travel in one revolution than your friend? What is that distance?

Answer 1

Revolution traveled by me = 30π ft.

Revolution traveled by my friend = 20π ft.

Difference between revolutions = 10π ft.

Explanation:

In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.