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 given its circumference, you can use the formula:

\[ C = \pi \times d \]

Where \( C \) is the circumference and \( d \) is the diameter. We can rearrange this formula to find the diameter:

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

Given that the circumference \( C \) is 7,459 miles and using \( \pi \approx 3.14 \), we can substitute these values into the equation:

\[ d = \frac{7,459}{3.14} \]

Now, performing the division:

\[ d \approx 2,375.1587 \]

Now, rounding this value to the nearest hundredths place gives:

\[ d \approx 2,375.16 \]

Therefore, the diameter of the circle, rounded to the nearest hundredths place, is 2,375.16 miles.