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To solve this, we need to express the radius \( r \) of a circle as a function of its circumference \( C \).

### Given Information
The circumference \( C \) of a circle is given by:
\[
C = 2 \pi r
\]

### Steps
1. We need to isolate \( r \) in terms of \( C \).
2. Starting from the formula \( C = 2 \pi r \), divide both sides by \( 2 \pi \) to solve for \( r \):
   \[
   r = \frac{C}{2 \pi}
   \]

### Answer
Thus, the radius \( r \) as a function of the circumference \( C \) is:
\[
r(C) = \frac{C}{(2 \pi)}
\]

Would you like further details on this solution or have any questions?

### Related Questions
1. How would you express the diameter of a circle as a function of its circumference?
2. If the area of the circle is given, how can we express the radius as a function of the area?
3. How does changing the circumference affect the radius of a circle?
4. What would the function \( r(C) \) look like if \( \pi \) were approximated by a decimal?
5. How do we express the circumference as a function of the diameter?

### Tip
Always keep track of which variable is dependent on which; it helps to understand the nature of functions.

Express the radius of a circle as a function of its circumference. Given that the circumference \( C \) of a circle is a function of its radius \( r \) given by \( C(r) = 2\pi r \).

Learn how to express the radius of a circle as a function of its circumference, given that the circumference is a function of the radius (C = 2πr). This geometry problem explores the relationship between circumference and radius in circle properties. Ideal for high school students in Grades 9-10.

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