Question

Question
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

Answer 1

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

\[
C = \pi \times d
\]

Where:
- \(C\) is the circumference,
- \(\pi\) (pi) is approximately 3.14,
- \(d\) is the diameter.

Given that the circumference \(C\) is 7,459 miles, we can rearrange the formula to solve for the diameter \(d\):

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

Now, substituting the values:

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

Now, let's perform the calculation:

\[
d \approx \frac{7459}{3.14} \approx 2377.84
\]

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

\[
\boxed{2377.84 \text{ miles}}
\]