To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle.
If the diameter of the circle is 12 cm, the radius \( r \) would be:
\[ r = \frac{\text{diameter}}{2} = \frac{12 , \text{cm}}{2} = 6 , \text{cm} \]
Now, plug the radius into the area formula:
\[ \text{Area} = \pi (6 , \text{cm})^2 = \pi \cdot 36 , \text{cm}^2 \approx 113.1 , \text{cm}^2 \]
Thus, the area of the circle is approximately \( 113.1 , \text{cm}^2 \).