Question

A tire has a radius of 13 inches. How far does the tire travel every time it turns exactly once? Use 3.14 for Pi and round your final answer to one decimal place.

a. 81.6 inches
b. 163.4 inches
c. 530.7 inches
d. 40.8 inches

Answer 1

The tire with a radius of 13 inches travels 81.6 inches in one full rotation. To find this, calculate the circumference using the formula C = 2πr and round the result to one decimal place.

Step-by-step explanation:

To find out how far a tire travels every time it turns exactly once, you need to calculate the circumference of the tire. The circumference of a circle (or a tire) is given by the formula C = 2πr, where r is the radius of the circle, and π is Pi, approximately 3.14.

Given that the radius of the tire is 13 inches, the circumference can be calculated as follows:

1. First, plug in the values into the formula: C = 2 × 3.14 × 13 inches.
2. Next, calculate the product: C = 2 × 3.14 × 13 inches = 81.64 inches.
3. Finally, round the answer to one decimal place, which gives us 81.6 inches.

Therefore, every time the tire turns exactly once, it travels 81.6 inches.