Question

a bicycle wheel travels travel 116.24 inches in one revolution . what is the approximate diameter of the tire

Answer 1

37 inches.

Explanation:

It is given that a bicycle wheel travels travel 116.24 inches in one revolution . It means circumference of wheel is 116.24 inches.

`C=116.24` ...(i)

We need to find the diameter of the tire.

`d=2r`

We know that

`C=2\pi r`

`C=(2r)(3.14)`
`[\because \pi=3.14]`

`C=3.14d` ...(ii)

From (i) and (ii), we get

`3.14d=116.24`

Divide both sides by 3.14.

`d=(116.24)/(3.14)`

`d=37.0191`

`d\approx 37`

Therefore, the approximate diameter of tire is 37 inches.