The question asks to calculate the area of a circle with a diameter of 9 meters, using $\pi \approx 3.142$, and round the answer to two decimal places.

Formula for the area of a circle:

$A = \pi \times r^2$ Where:

• $A$ is the area.
• $r$ is the radius of the circle, which is half of the diameter.
• $\pi$ is approximately 3.142 as given.

Given:

• Diameter $d = 9 \, \text{m}$, so radius $r = \frac{9}{2} = 4.5 \, \text{m}$.

Now, we will compute the area.The area of the circle is approximately $63.63 \, \text{m}^2$, rounded to two decimal places.

Would you like more details, or do you have any questions?

Here are some related questions to explore:

1. How would the area change if the diameter were doubled?
2. What would be the circumference of this circle using the same value of $\pi$?
3. How do you calculate the area of a semicircle using this diameter?
4. What if $\pi$ were taken as 3.14159 instead? How would the answer change?
5. How can we convert this area into square centimeters?

Tip: Always check if the radius or diameter is given in circle problems, as they are often confused.