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. The radius is half of the diameter.
Given that the diameter of the circle is 32 cm, you can find the radius:
\[ r = \frac{32 , \text{cm}}{2} = 16 , \text{cm} \]
Now, plug the radius into the area formula:
\[ \text{Area} = \pi (16 , \text{cm})^2 = \pi (256 , \text{cm}^2) \]
Now, approximate \( \pi \) as 3.14 for calculation:
\[ \text{Area} \approx 3.14 \times 256 , \text{cm}^2 \approx 804.64 , \text{cm}^2 \]
Rounding to the nearest whole number, the area of the circle is:
\[ \text{Area} \approx 805 , \text{cm}^2 \]
Thus, the area of the circle is approximately 805 cm².