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iVinArrow [24]
2 years ago
11

What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet

Mathematics
1 answer:
GalinKa [24]2 years ago
5 0

Answer:

About 2.17 feet.

Step-by-step explanation:

Let <em>d</em> represent the diameter of the tire.

Then the circumference of the tire will be:

C=d\pi

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

775(d\pi)=5280

Solve for <em>d:</em>

<em />\displaystyle d=\frac{5280}{775\pi}<em />

Approximate:

d=2.1686...\approx2.17

The circumference of the tire should be about 2.17 feet.

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