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!