Question

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

Answer 1

Answer:

$\boxed {\boxed {\sf 24 \ inches}}}$

Step-by-step 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.

$c=\pi \times d$

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

$75 \ in =\pi \times d$

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.

$\frac {75 \ in}{\pi}= \frac{\pi \times d}{\pi}$

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

$23.8732415 \ in=d$

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.

Answer 2

Answer:

24 inches

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches