To calculate the area of a circular pond with a radius of 2 meters, we'll use the formula for the area of a circle. The formula is:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
where:
- \(\pi\) is a constant approximately equal to 3.142 (as given).
- \(r\) is the radius of the circle, which is 2 meters in this case.
Let's break down the steps:
1. Identify the radius - Here, the radius \(r\) is 2 meters.
2. Square the radius - \(r^2\):
[tex]\[
2^2 = 4
\][/tex]
3. Multiply by \(\pi\) - Now we will multiply the squared radius by \(\pi\):
[tex]\[
\text{Area} = \pi \times 4
= 3.142 \times 4
\][/tex]
4. Calculate the product - Performing the multiplication:
[tex]\[
3.142 \times 4 = 12.568
\][/tex]
So, the area of the pond is [tex]\(12.568 \, \text{square meters}\)[/tex] as we calculated.
