The circumference of a circle is 12.56 miles. What is the circle's diameter?

The circumference \( C \) of a circle is related to its diameter \( d \) by the formula:

\[
C = \pi d
\]

Given that the circumference \( C \) is 12.56 miles, we can find the diameter by rearranging the formula:

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

Substituting the given value:

\[
d = \frac{12.56 \text{ miles}}{\pi} \approx \frac{12.56 \text{ miles}}{3.1416} \approx 4 \text{ miles}
\]

So, the diameter of the circle is approximately 4 miles.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What is the radius of the circle with a circumference of 12.56 miles?
2. How do you calculate the area of a circle if you know the diameter?
3. If the circle's radius were doubled, what would be the new circumference?
4. How is the diameter of a circle related to its area?
5. What is the length of the arc subtended by a 90° angle in this circle?

**Tip:** Always remember, the diameter is twice the radius of a circle!

Discover how to find the diameter of a circle with a given circumference of 12.56 miles using the formula C = πd. Step-by-step solution included. Suitable for students in Grades 6-8.

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