Question

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

Answer 1

Answer:

$C = 45 * 2\pi$

$C = 90\pi$

Step-by-step 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

$r = \frac{1}{2} * d$

$r = \frac{1}{2} * 90$

$r = 45$

So, we have:

$C = 2\pi r$

$C = 2\pi * 45$

$C = 45 * 2\pi$

$C = \pi d$

$C = \pi * 90$

$C = 90\pi$