The formula to calculate the Circumradius of a Square given its inradius is:
\[ \text{Circumradius} = \sqrt{2} \times \text{Inradius} \]
The Circumradius of a Square is the radius of the circumcircle of the square, or the circle which contains the square with all the vertices of the square lying on the circle. 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.
Let's assume the following value:
Using the formula:
\[ \text{Circumradius} = \sqrt{2} \times 5 \approx 7.07106781186548 \, \text{meters} \]
The Circumradius of the Square is approximately 7.07106781186548 meters.
| Inradius (meters) | Circumradius (meters) |
|---|---|
| 4 | 5.656854249492381 |
| 4.5 | 6.363961030678928 |
| 5 | 7.071067811865476 |
| 5.5 | 7.778174593052023 |
| 6 | 8.485281374238571 |