https://file.aiquickdraw.com/mathbot/file/17266053189638z2qnu98.jpg

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

\[
\text{Area} = \pi r^2
\]

From the diagram, we know the diameter of the circle is 13.2 cm, so the radius \(r\) is half of that:

\[
r = \frac{13.2}{2} = 6.6 \text{ cm}
\]

Now we can calculate the area using \(\pi = 3.142\):

\[
\text{Area} = 3.142 \times (6.6)^2
\]

Let me calculate that for you.The area of the circle is approximately \( 136.87 \, \text{cm}^2 \) when rounded to two decimal places.

Do you need any further clarification or additional details?

Here are five related questions to consider:
1. How would the area change if the radius doubled?
2. What would be the circumference of this circle?
3. How do we derive the formula for the area of a circle?
4. How would the result change if we used a more precise value for \(\pi\)?
5. What is the relationship between the diameter and circumference?

**Tip**: Remember, the area grows with the square of the radius, so even small changes in the radius lead to significant changes in the area.

Work out the area of this circle. Take π to be 3.142 and give your answer to 2 decimal places. Diameter is 13.2 cm.

Find the area of a circle with a diameter of 13.2 cm using π = 3.142. Step-by-step guide on how to calculate the radius and the area of the circle, rounded to two decimal places. Ideal for students in Grades 6-8 learning about geometry and the area of circles.

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