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 answer

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

\[ C = \pi \times d \]

Where:

  • \( C \) is the circumference
  • \( \pi \) is approximately 3.14
  • \( d \) is the diameter

We can rearrange this formula to solve for the diameter:

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

Substituting in the given circumference:

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

Now, let's calculate:

\[ d = \frac{7,459}{3.14} \approx 2,374.84 \text{ miles} \]

Rounding to the nearest hundredths place, the diameter is:

\[ \boxed{2374.84} \text{ miles} \]