The formula to calculate the Perimeter of a Square given its circumradius is:
\[ \text{Perimeter} = 4\sqrt{2} \cdot \text{Circumradius} \]
The Perimeter of a Square is the total length of all the boundary lines of the square. 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.
Let's assume the following value:
Using the formula:
\[ \text{Perimeter} = 4\sqrt{2} \cdot 7 \approx 39.5980 \, \text{meters} \]
The Perimeter is approximately 39.5980 meters.
| Circumradius (meters) | Perimeter (meters) |
|---|---|
| 1 | 5.656854249492381 |
| 1.5 | 8.485281374238571 |
| 2 | 11.313708498984761 |
| 2.5 | 14.142135623730951 |
| 3 | 16.970562748477143 |
| 3.5 | 19.798989873223331 |
| 4 | 22.627416997969522 |
| 4.5 | 25.455844122715714 |
| 5 | 28.284271247461902 |
| 5.5 | 31.112698372208094 |
| 6 | 33.941125496954285 |
| 6.5 | 36.769552621700477 |
| 7 | 39.597979746446661 |
| 7.5 | 42.426406871192853 |
| 8 | 45.254833995939045 |