The formula to calculate the circumradius of a square is:
\[ r_c = \frac{l_e}{\sqrt{2}} \]
Where:
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 edge length of a square is the length of any of the four edges of the square.
Let's assume the following value:
Using the formula:
\[ r_c = \frac{10}{\sqrt{2}} = 7.07106781 \text{ m} \]
The circumradius is approximately 7.07106781 meters.
| Edge Length (m) | Circumradius (m) |
|---|---|
| 5 | 3.53553391 |
| 6 | 4.24264069 |
| 7 | 4.94974747 |
| 8 | 5.65685425 |
| 9 | 6.36396103 |
| 10 | 7.07106781 |
| 11 | 7.77817459 |
| 12 | 8.48528137 |
| 13 | 9.19238816 |
| 14 | 9.89949494 |
| 15 | 10.60660172 |