The formula to calculate the Inradius of a Square given its perimeter is:
\[ \text{Inradius} = \frac{\text{Perimeter}}{8} \]
The Inradius of a Square is the radius of the incircle of the square, or the circle contained by the square with all the edges of the square touching the circle. The Perimeter of a Square is the total length of all the boundary lines of the square.
Let's assume the following value:
Using the formula:
\[ \text{Inradius} = \frac{40}{8} \approx 5 \, \text{meters} \]
The Inradius of the Square is approximately 5 meters.
| Perimeter (meters) | Inradius (meters) |
|---|---|
| 30 | 3.750000000000000 |
| 35 | 4.375000000000000 |
| 40 | 5.000000000000000 |
| 45 | 5.625000000000000 |
| 50 | 6.250000000000000 |