To find the circumference of the circle, we use the formula for the circumference $C$ of a circle, which is given by:

$C = 2\pi r$

Where:

• $r$ is the radius of the circle.
• $\pi$ is approximately $3.14159$.

From the image, the radius $r$ of the circle is 6 units.

Now, let's calculate the circumference:

$C = 2 \pi \times 6$ $C \approx 2 \times 3.14159 \times 6 = 37.69908$

Rounded to the nearest hundredth, the circumference is approximately:

$C \approx 37.70 \, \text{units}$

Would you like further explanation or have any questions?

Here are 5 related questions to explore further:

1. What is the formula for the area of a circle, and how does it relate to the radius?
2. How would the circumference change if the radius doubled?
3. What is the difference between the circumference and the diameter of a circle?
4. How is the concept of a circle’s circumference applied in real-life situations?
5. What is the relationship between the circumference and the arc length of a circle?

Tip: When solving geometry problems, always ensure you correctly identify whether you're given the radius or diameter, as it significantly affects your calculations.