Question

The Pike Ferris Wheel in downtown Long Beach is 90 feet tall.

Select all of the expressions below that could be used to find the distance, measured in

feet, that one of the gondolas will travel in one revolution of the giant wheel.

Answer 1

`C = 45 * 2\pi`

`C = 90\pi`

Explanation:

Given

`h = 90` -- height of the wheel

Required

The expression for the distance traveled in 1 revolution

The height of the wheel implies that:

`d =90` --- diameter equals height

The distance in 1 revolution is calculated by calculating the circumference of the wheel using:

`C = 2\pi r` or
`C = \pi d`

Where

`r = (1)/(2) * d`

`r = (1)/(2) * 90`

`r = 45`

So, we have:

`C = 2\pi r`

`C = 2\pi * 45`

`C = 45 * 2\pi`

`C = \pi d`

`C = \pi * 90`

`C = 90\pi`