Question

a ferris wheel rotates 9pi/8 radians prior to making a stop the total height of the ferris wheel is 246 ft how far around did the ferris wheel travel round to the nearest whole foot

Answer 1

ferris wheel travel approx = 434.72 ft

Explanation:

given data

wheel rotates = 9pi/8 radians

total height of the ferris wheel = 246 ft

solution

we can say here that height of the ferris wheel is same as the diameter of the wheel

and wheel is circular in shape

so we get here first radius of wheel that is

radius = half of diameter ..........................1

put here value and we get

radius = 0.5 × 246

radius = 123 ft

and

wheel travel distance = length of arc by a angle of wheel rotates

so here length of arc will be

arc length = radius × wheel rotates angle .....................2

put here value and we get

arc length = 123 ×
`(9\pi )/(8)`

arc length = 434.7178 ft

so ferris wheel travel approx = 434.72 ft