The formula to calculate the Circumradius of a Square given the diameter of its incircle is:
\[ r_c = \frac{D_i}{\sqrt{2}} \]
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 diameter of the incircle is the diameter of the circle which is inscribed inside the square, touching all its edges.
Let's assume the following value:
Using the formula:
\[ r_c = \frac{10}{\sqrt{2}} \approx 7.07106781186547 \, \text{meters} \]
The Circumradius of the Square is approximately 7.07106781186547 meters.
| Diameter of Incircle (meters) | Circumradius (meters) |
|---|---|
| 9 | 6.363961030678928 |
| 9.1 | 6.434671708797582 |
| 9.2 | 6.505382386916236 |
| 9.3 | 6.576093065034891 |
| 9.4 | 6.646803743153545 |
| 9.5 | 6.717514421272200 |
| 9.6 | 6.788225099390854 |
| 9.7 | 6.858935777509509 |
| 9.8 | 6.929646455628164 |
| 9.9 | 7.000357133746817 |
| 10 | 7.071067811865472 |
| 10.1 | 7.141778489984127 |
| 10.2 | 7.212489168102781 |
| 10.3 | 7.283199846221436 |
| 10.4 | 7.353910524340090 |
| 10.5 | 7.424621202458745 |
| 10.6 | 7.495331880577400 |
| 10.7 | 7.566042558696053 |
| 10.8 | 7.636753236814708 |
| 10.9 | 7.707463914933363 |
| 11 | 7.778174593052017 |