The formula to calculate the Diagonal of a Square given its inradius is:
\[ \text{Diagonal} = 2\sqrt{2} \cdot \text{Inradius} \]
The Diagonal of a Square is the length of the line joining any pair of opposite vertices of the square. The Inradius of a Square is the radius of the incircle of the square, or the circle which is contained by the square with all the edges of the square touching the circle.
Let's assume the following value:
Using the formula:
\[ \text{Diagonal} = 2\sqrt{2} \cdot 5 \approx 14.1421 \, \text{meters} \]
The Diagonal is approximately 14.1421 meters.
| Inradius (meters) | Diagonal (meters) |
|---|---|
| 4 | 11.313708498984761 |
| 4.5 | 12.727922061357857 |
| 5 | 14.142135623730951 |
| 5.5 | 15.556349186104047 |
| 6 | 16.970562748477143 |