A Ferris wheel is 400 feet in diameter. How far will a person riding on the Ferris wheel have traveled (in miles) when the wheel makes 59 revolutions? (1 mi = 5280 ft)

a) about 14.04 mi
b) about 28.08 mi
c) about 0.48 mi
d) about 4.47 mi

A Ferris wheel is 400 feet in diameter How far will a person riding on the Ferris wheel have traveled in miles when the wheel makes 59 revolutions 1 mi 5280 ft class=

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Answer:

d) about 4.47 miles

Step-by-step explanation:

Multiply 400 by 59 to get 23,600

Convert 23,600 feet to miles (divide by 52820)

The person will travel about 14.04 miles when the wheel makes 59 revolutions.

What is a circle?

'A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.'

According to the given problem,

Diameter of the wheel = 400 feet

Radius of the wheel = ( 400/2 ) feet

                                 = 200 feet.

Circumference of the wheel = 2πr

                                               = 2 × π × 200

                                               = 400π

Total distance in 59 revolutions = ( 400π × 59 ) feet

                                                     = 74141.58 feet

Total distance in miles = [tex]\frac{74141.58}{5280}[/tex] miles

                                      = 14.04196 miles

                                      ≈ 14.04 miles

Hence, we can conclude, the person will travel 14.04 miles when the wheel makes 59 revolutions.

Lear more about circle here: https://brainly.com/question/11833983

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