A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 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. Please show Calculations

the central angle = 18°

arc length

area of a sector between any two cars = 98.18 ft²

Step-by-step explanation:

Given that:

Radius of the carnival ride = 25 feet

The wheel has 20 cars attached to the center of the wheel.

We are to calculate the following ;

the central wheel

arc length, and

area of a sector between any two cars

To start with the central wheel;

Since, the wheel has 20 cars attached to the center of the wheel; each central wheel will be :

= 18°

The arc length L for the 1/25 th section occurs in the following ratio with the wheel circumference.

The area of a sector between any two cars is similar in ratio with the wheel's total area:

So;

A  

A = 98.18 ft²

step-by-step explanation:

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