The pond is a circle with a radius of 2 m. Work out the area of the pond. Use [tex]\pi[/tex] as 3.142 and write down all the digits given by your calculator.

[tex]\text{Radius} = 2 \text{ m}[/tex]



Answer :

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.