the approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths places? Use 3.14 for pi.

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 this formula to solve for the diameter, we get:

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

Given that the circumference \( C \) is 7,459 miles and using \( \pi \approx 3.14 \):

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

Calculating this gives:

\[ d \approx 2375.158 \]

Rounding to the nearest hundredths place:

\[ d \approx 2375.16 \]

Thus, the diameter of the circle is approximately 2375.16 miles.