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 when given the 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 solve for the diameter \(d\):

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

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

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

Now, performing the calculation:

\[ d \approx \frac{7,459}{3.14} \approx 2,375.16 \]

Rounding to the nearest hundredths place, the diameter is approximately:

\[ \text{Diameter} \approx 2,375.16 \text{ miles} \]