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

Answer:

$12^{\circ}$  $1\ feet\ and$ $94.28\ ft^2$

Step-by-step 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

$= \frac{360}{30}$

$= 12^{\circ}$

The arc length is

$= \frac{12}{360}(30)$

= 1 feet

And, the area of a sector between two cars is

$= \frac{12}{360}(\pi (30)^2)$

= $94.28\ ft^2$

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