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

$\text{Area} = \pi r^2$

Given the diameter is 8 cm, the radius ($r$) is half of the diameter:

$r = \frac{8}{2} = 4 \, \text{cm}$

Now, substituting $r = 4$ into the formula:

$\text{Area} = \pi \times 4^2 = \pi \times 16$ $\text{Area} \approx 3.14 \times 16 \approx 50.27 \, \text{cm}^2$

Therefore, the correct answer is:

A: 50.27 cm²

Would you like more details or have any questions?

Here are some related questions:

1. What is the formula to find the circumference of a circle?
2. How would the area change if the radius was doubled?
3. What is the relationship between the diameter and the circumference?
4. How does the area of a circle compare to the area of a square with the same perimeter?
5. Why is π (pi) approximately 3.14?

Tip: Always remember that the radius is half of the diameter, a crucial step in many circle-related calculations.