To find the diameter of a circle given its circumference, you can use the formula for the circumference of a circle:
\[ C = \pi d \]
where \( C \) is the circumference, and \( d \) is the diameter. From the problem, we have:
\[ C = 7,459 \text{ miles} \]
Using \( \pi \approx 3.14 \), we can rearrange the formula to solve for \( d \):
\[ d = \frac{C}{\pi} \]
Now, substitute the values into the equation:
\[ d = \frac{7,459}{3.14} \]
Calculating this gives:
\[ d \approx \frac{7,459}{3.14} \approx 2,376.27 \text{ miles} \]
Rounding to the nearest hundredths place:
The diameter is approximately 2,376.27 miles.
1 answer