Question

A car is on a spinning carnival ride with a radius of 25 ft. to the nearest foot, how far does the car travel over an angle of 2pi/3 radians?

Answer 1

The distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

How to find the length of an arc.

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r is the radius. = 25ft

theta is the angle subtended = 2pi/3 radians

Substitute

L = 25 * 2pi/3
L = 50pi/3
L = 52.3 feet

Hence the distance that the car travel over an angle of 2pi/3 radians is 52.3 feet

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