Question

The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use

22/7 as an approximation for it.
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Answer 1

The car will travel approximately 13200 inches

Explanation:

Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is:
`2\,\pi\,R`

Then, in 200 revolutions the car will travel 200 times that amount:

`200\,(2\,\pi\,R)=400\ \pi\,R`

So for the given dimension of the tire, and using the approximation
`(\pi\approx22/7)`, this distance would be:

`400\ \pi\,R=400\,\,(22)/(7) \,\,10.5\,\,in=13200\,\,in`