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A merry-go-round with a radius of 16 feet completes 14 revolutions. How far will a person travel while riding the merry-go-round?

A. 100.5 feet
B. 1407.4 feet
C. 2814.9 feet
D. 11259.5 feet

Answer :

Final answer:

The distance traveled on the merry-go-round is approximately 1407.4 feet.


Explanation:

To calculate the distance traveled on a merry-go-round, we need to find the circumference of the circle. The circumference is equal to 2πr, where r is the radius of the circle. In this case, the radius is 16 feet, so the circumference would be 2π(16) = 32π feet. Since the merry-go-round completes 14 revolutions, we can find the total distance traveled by multiplying the circumference by the number of revolutions: 32π * 14 = 448π feet. To find the decimal approximation, we can use 3.14 as an approximate value for π. So, the total distance traveled would be approximately 448(3.14) = 1407.4 feet.


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