The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π .(1 point)

 ___miles

1 answer

To find the diameter of a circle from its circumference, you can use the formula:

\[ C = \pi \times d \]

Where \(C\) is the circumference and \(d\) is the diameter. Rearranging the formula to solve for \(d\):

\[ d = \frac{C}{\pi} \]

Given that the circumference \(C\) is 7,459 miles and using \( \pi \approx 3.14\), we can plug in the values:

\[ d = \frac{7459}{3.14} \]

Now calculating \(d\):

\[ d \approx \frac{7459}{3.14} \approx 2374.31 \]

Rounding to the nearest hundredths place, the diameter is:

2,374.31 miles.