Question

A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.

Answer 1

`12^(\circ)`
`1\ feet\ and`
`94.28\ ft^2`

Explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

`= (360)/(30)`

`= 12^(\circ)`

The arc length is

`= (12)/(360)(30)`

= 1 feet

And, the area of a sector between two cars is

`= (12)/(360)(\pi (30)^2)`

=
`94.28\ ft^2`

We simply do the above calculations so that each item could be find out