The diameter of a circle is 8 centimeters. What is the area of the circle?

The area \( A \) of a circle is given by the formula:

\[
A = \pi r^2
\]

Where \( r \) is the radius of the circle. The radius is half the diameter, so:

\[
r = \frac{8}{2} = 4 \text{ cm}
\]

Now substitute \( r = 4 \) cm into the formula:

\[
A = \pi (4)^2 = \pi \times 16
\]

Thus, the area is:

\[
A = 16\pi \text{ cm}^2
\]

Approximating \( \pi \) as 3.1416:

\[
A \approx 16 \times 3.1416 = 50.27 \text{ cm}^2
\]

So, the area of the circle is approximately **50.27 cm²**.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the circumference of a circle with a diameter of 8 cm?
2. How would the area change if the diameter were doubled?
3. If the area of a circle is 50.27 cm², what is its radius?
4. What is the area of a circle with a radius of 5 cm?
5. How does the area of a circle relate to the square of its radius?

**Tip**: Remember that the radius is always half the diameter when calculating properties of a circle!

Find out how to calculate the area of a circle with an 8 cm diameter. This detailed solution walks through the use of the area formula A = πr², showing how to derive the radius from the diameter. Ideal for students in Grades 6-8.

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