Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. A. Find the circumference of the tire.
B. About how many times will the tire have to rotate to travel 1 mile? (1 mile = 5,280 ft)

A. The circumference of the tire is approximately 7.854 feet.

B. The tire rotates about 672 times to travel 1 mile.

Step-by-step explanation:

A. The circunference (), measured in feet, in terms of diameters is defined by the following formula:

(1)

Where is the diameter of the tire, measured in feet.

If we know that , then the circunference of the tire is:

The circumference of the tire is approximately 7.854 feet.

B. The value found in A. represents the distance travelled by the tire per revolution. Then, the number of revolutions (), no unit, associated to the distance travelled is calculated by this expression:

(2)

If we know that and , then the number of revolutions done by the tire to travel 1 mile is:

The tire rotates about 672 times to travel 1 mile.

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632