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A car wheel has a radius of 13 inches. What is the approximate circumference of the car tire? (Use 3.14 as an approximation for [tex]\pi[/tex].)

A. 40.5 in.
B. 81.6 in.
C. 100.2 in.
D. 65.0 in.

Answer :

To find the approximate circumference of a car tire with a radius of 13 inches, we can use the formula for the circumference of a circle, which is:

[tex]\[ \text{Circumference} = 2 \times \pi \times \text{radius} \][/tex]

In this problem, we are given the radius as 13 inches and are asked to use 3.14 as the approximation for [tex]\(\pi\)[/tex].

1. First, note the values:
- Radius ([tex]\(r\)[/tex]) = 13 inches
- [tex]\(\pi\)[/tex] (approximation) = 3.14

2. Use the circumference formula:
[tex]\[ \text{Circumference} = 2 \times 3.14 \times 13 \][/tex]

3. Perform the multiplication step-by-step:
- Multiply 2 by 13 to get 26.
- Multiply 26 by 3.14 to determine the circumference.

4. The result of this calculation is approximately 81.64 inches.

Given the options:
- A. 40.5 in.
- B. 81.6 in.
- C. 100.2 in.
- D. 65.0 in.

The closest match to 81.64 inches is option B: 81.6 inches.

Therefore, the approximate circumference of the car tire is 81.6 inches.

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