https://file.aiquickdraw.com/mathbot/file/1729809601294jv21tfqn.jpg

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.

The area of this circle, correct to two decimal places, is:

This problem demonstrates how to find the area of a circle with a given diameter of 8 cm. Using the formula Area = πr², we determine that the radius is 4 cm, and the area is approximately 50.27 cm².

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