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The image you uploaded contains the following mathematical problem:

**4. Express the length of the radius of a circle as a function of the circumference.**

To solve this, let's break it down:

### Step 1: Recall the formula for the circumference of a circle.
The circumference \( C \) of a circle is related to its radius \( r \) by the formula:
\[
C = 2\pi r
\]

### Step 2: Express the radius as a function of the circumference.
We want to express \( r \) as a function of \( C \). Rearranging the formula above to solve for \( r \):
\[
r = \frac{C}{2\pi}
\]

So, the radius \( r \) of a circle can be expressed as a function of the circumference \( C \) by:
\[
r(C) = \frac{C}{2\pi}
\]

Would you like more details or have any questions about this solution?

Here are five questions that expand on this concept:
1. What is the relationship between the area of a circle and its radius?
2. How would you express the diameter of a circle as a function of its radius?
3. How does the circumference of a circle change if the radius is doubled?
4. Can you derive the area of a circle using the relationship between circumference and radius?
5. How would you calculate the circumference if you are only given the area of the circle?

**Tip:** When working with circle-related problems, always remember the basic formulas for circumference and area, as they form the foundation for solving various geometric questions.

Express the length of the radius of a circle as a function of the circumference.

Explore how to express the radius of a circle as a function of its circumference. This problem involves key geometric concepts, including the relationship between circumference and radius. Suitable for students in Grades 7-9.

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