Question

a ferris wheel has a diameter of 42 feet. it rotates 3 times per minute. approximately how far will a passenger travel during a 5 - minute ride?
132 feet
659 feet
1,978 feet
3,956 feet

Explanation:

Answer:

1. First, find the circumference of the Ferris - wheel:

• The formula for the circumference of a circle is \(C=\pi d\), where \(d = 42\) feet. So, \(C=\pi\times42\approx3.14\times42 = 131.88\) feet.

1. Then, find the number of rotations in 5 minutes:

• It rotates 3 times per minute, so in 5 minutes, it rotates \(n = 3\times5=15\) times.

1. Finally, find the total distance traveled:

• The total distance \(D\) is the number of rotations times the circumference, so \(D = 15\times C\).
• Substitute \(C\approx131.88\) into the formula: \(D\approx15\times131.88 = 1978.2\approx1978\) feet.

So the answer is 1,978 feet.