To find the area of a circle given its diameter, we use the formula:

\[
A = \pi r^2
\]

Where:
- \( A \) is the area,
- \( r \) is the radius of the circle,
- \( \pi \) is a constant approximately equal to 3.14159.

The radius \( r \) is half of the diameter. So, for a diameter of 2.5, the radius is:

\[
r = \frac{2.5}{2} = 1.25
\]

Now, substitute \( r = 1.25 \) into the area formula:

\[
A = \pi (1.25)^2 = \pi (1.5625)
\]

\[
A \approx 3.14159 \times 1.5625 \approx 4.9087 \, \text{square units}
\]

So, the area of the circle is approximately **4.91 square units**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the circumference of a circle with the same diameter?
2. How does the area change if the diameter is doubled?
3. Can you find the radius of a circle if the area is known?
4. How is the formula for the area of a circle derived?
5. What is the relationship between the diameter and circumference of a circle?

**Tip:** Always remember, the radius is half the diameter, which is crucial in many circle-related calculations.

Learn how to calculate the area of a circle with a diameter of 2.5 using the formula A = πr². This step-by-step guide shows how to find the radius and compute the area, suitable for students in Grades 6-8. The final area is approximately 4.91 square units.

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