https://file.aiquickdraw.com/mathbot/file/1727714730350ptkegw93.jpg

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.

Find the circumference of the circle with a radius of 6 units. Round your answer to the nearest hundredth.

Learn how to find the circumference of a circle with a radius of 6 units. This geometry problem explains the key formula C = 2 * π * r and demonstrates step-by-step calculation. Suitable for Grades 6-8.

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