The formula to calculate the Area of a Square given its inradius is:
\[ \text{Area} = 4 \times \text{Inradius}^2 \]
The Area of a Square is the total quantity of plane enclosed by the boundary lines of the square. The Inradius of a Square is the radius of the incircle of the square, which is the circle contained by the square with all the edges of the square touching the circle.
Let's assume the following value:
Using the formula:
\[ \text{Area} = 4 \times 5^2 \approx 100 \, \text{square meters} \]
The Area of the Square is approximately 100 square meters.
| Inradius (meters) | Area (square meters) |
|---|---|
| 4 | 64.000000000000000 |
| 4.5 | 81.000000000000000 |
| 5 | 100.000000000000000 |
| 5.5 | 121.000000000000000 |
| 6 | 144.000000000000000 |