Question

A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?

15
12
24
30

Answer 1

24 inches

Explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

Answer 2

`\boxed {\boxed {\sf 24 \ inches}}}`

Explanation:

We want to find the diameter of the tire given the distance traveled in 1 full rotation.

The circumference of a circle is the distance all the way around. If a wheel or tire makes 1 full rotation, the distance traveled is equal to the circumference.

The circumference is the product of pi and the diameter.

`c=\pi * d`

We know the circumference (distance traveled in 1 full rotation) is 75 inches. We can substitute this value for c.

`75 \ in =\pi * d`

We want to find the diameter, so the variable must be isolated. It is being multiplied by pi. The inverse of multiplication is division, so we divide both sides by pi.

`\frac {75 \ in}{\pi}= (\pi * d)/(\pi)`

`\frac {75 \ in}{\pi}=d`

`23.8732415 \ in=d`

Round to the nearest inch. The 8 in the tenths place tells us to round the 3 up to a 4.

`24 \ in \approx d`

The diameter of the tire is approximately 24 inches.