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The problem provides the circumference of a circle \( C = 15.7 \, \text{km} \) and asks to find the radius \( r \), using \( \pi = 3.14 \).

The formula for the circumference of a circle is:

\[
C = 2\pi r
\]

We can solve for \( r \) by rearranging the formula:

\[
r = \frac{C}{2\pi}
\]

Substitute \( C = 15.7 \, \text{km} \) and \( \pi = 3.14 \):

\[
r = \frac{15.7}{2 \times 3.14} = \frac{15.7}{6.28}
\]

Now, let's calculate the value of \( r \).The radius \( r \) of the circle is \( 2.5 \, \text{km} \).

Would you like more details or have any questions?

Here are five related questions to deepen your understanding:
1. How would the formula for the radius change if you had the diameter instead of the circumference?
2. What would the radius be if the circumference was doubled?
3. How can you calculate the area of the circle using the radius you just found?
4. What is the relationship between the radius and the diameter of a circle?
5. How does using a more precise value for \( \pi \) affect the accuracy of the radius calculation?

**Tip:** The radius is always half the diameter, so knowing one helps you find the other easily.

Find the radius given that the circumference of a circle is 15.7 km and pi is 3.14.

Learn how to calculate the radius of a circle when given the circumference of 15.7 km and using π = 3.14. This problem covers geometry concepts related to circles and their properties, suitable for students in Grades 6-8.

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