The formula to calculate the Circumradius of a Square given its perimeter is:
\[ \text{Circumradius} = \frac{\text{Perimeter}}{4 \cdot \sqrt{2}} \]
The Circumradius of a Square is the radius of the circumcircle of the square, which is the circle that contains the square with all the vertices of the square lying on the circle.
Let's assume the following value:
Using the formula:
\[ \text{Circumradius} = \frac{40}{4 \cdot \sqrt{2}} \approx 7.07106781186547 \, \text{meters} \]
The Circumradius of the Square is approximately 7.07106781186547 meters.
| Perimeter (meters) | Circumradius (meters) |
|---|---|
| 30 | 5.303300858899106 |
| 35 | 6.187184335382290 |
| 40 | 7.071067811865475 |
| 45 | 7.954951288348659 |
| 50 | 8.838834764831843 |