Answer :
Final answer:
The circumference of the larger P265/70R17 tire is calculated by converting the width from millimeters to inches, finding the tire height from the aspect ratio, obtaining the total diameter, and using the formula C = pi * Diameter, which gives us approximately 99.3 inches.
Explanation:
To calculate the circumference of a P265/70R17 tire, we need to understand what these numbers mean. The '265' means the width of the tire in millimeters, the '70' indicates the aspect ratio of the tire, and the '17' is the diameter of the wheel in inches.
The first step is to convert the width from millimeters to inches (1 inch = 25.4 mm), so:
Width in inches = 265 mm / 25.4 = 10.433 inches.
The aspect ratio means that the height of the tire is 70% of its width. So the height of the tire is:
Height = 70% of 10.433 inches = 0.70 * 10.433 = 7.3031 inches.
Now, this height is only from the rim to the outer edge, so the total diameter of the tire is twice the height plus the diameter of the rim:
Total Diameter in inches = 2 * 7.3031 inches + 17 inches = 14.6062 inches + 17 inches = 31.6062 inches.
Finally, the circumference (C) of the tire is found by using the formula:
C = π * Diameter.
C = 3.14159 * 31.6062 inches ≈ 99.3 inches.
Therefore, the circumference of the larger P265/70R17 tires is approximately 99.3 inches.
Answer: d. 99.3 inches
