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: $r(C) = \frac{C}{(2 \pi)}$

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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.