Consider a circle whose size can vary. The circumference of the circle is always 
2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).

Write a formula that expresses r in terms of C.

The formula for the circumference \( C \) of a circle in terms of its radius \( r \) is:

\[
C = 2\pi r
\]

To express \( r \) in terms of \( C \), solve for \( r \):

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

Thus, the formula for the radius \( r \) in terms of the circumference \( C \) is:

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

Would you like a detailed explanation of how this formula was derived?

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Here are 5 related questions:
1. What happens to the radius if the circumference doubles?
2. How does the area of the circle relate to its circumference?
3. If the circumference is 31.4 feet, what is the radius?
4. How can you express the diameter in terms of the circumference?
5. What is the relationship between radius and area for a circle?

**Tip:** Remember, the diameter of a circle is always twice the radius!

Consider a circle whose size can vary. The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet). Write a formula that expresses r in terms of C.

Learn how to derive the formula for the radius of a circle given its circumference. This problem involves the relationship between the circumference and the radius using the formula C = 2πr. Ideal for students in Grades 6-8 studying geometry and algebra.

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