https://file.aiquickdraw.com/mathbot/file/1730420188623hf3aewzq.jpg

To find the area of a circle, we use the formula:

\[
\text{Area} = \pi r^2
\]

From the image, we see that the diameter of the circle is given as \(6 \, \text{cm}\). The radius, \(r\), is half of the diameter:

\[
r = \frac{6}{2} = 3 \, \text{cm}
\]

Now, substituting the radius into the area formula:

\[
\text{Area} = \pi (3)^2 = \pi \cdot 9 = 9\pi \, \text{cm}^2
\]

It appears there might be an error in the answer choices, as none of them matches \(9\pi \, \text{cm}^2\). The closest match from typical choices might be a formatting or question setup error.

Would you like further explanation on circle properties or assistance with other math problems?

### Related Questions:
1. What is the circumference of a circle with a radius of 3 cm?
2. If the diameter of a circle is doubled, how does the area change?
3. How would the area change if the diameter were 10 cm instead?
4. How do you calculate the area of a sector of a circle?
5. What is the difference between circumference and area in terms of units?

### Tip:
Always remember that the radius is half the diameter in circular geometry problems!

What is the area of this circle with a diameter of 6 cm?

Learn how to calculate the area of a circle given a diameter of 6 cm. This example covers the geometry concept of circle area calculation using the formula A = πr^2, which is suitable for students in Grades 6-8.

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