Question

A carnival ride is in the shape of a wheel with a radius of 18 feet. The wheel (circle) has 16 cars equally spaced apart along the outside of the wheel. What is the arc length between any two cars?

ROUND TO THE NEAREST HUNDREDTH!!! HURRY PLEASE

Answer 1

Length of arc between two cars = 7 feet (Approx.)

Explanation:

Given:

Radius of carinal wheel = 18 feet

Number of car equal distance = 16

Find:

Length of arc between two cars

Computation:

Angle between two cars = 360 / 16

Angle between two cars = 22.5°

Length of arc = [θ/360][2πr]

Length of arc between two cars = [22.5/360][(2)(3.14)(18)]

Length of arc between two cars = [0.0625][(6.28)(18)]

Length of arc between two cars = [0.0625][113.04]

Length of arc between two cars = 7.0625

Length of arc between two cars = 7 feet (Approx.)