The formula to calculate the circumradius of a rectangle given its diagonal is:
\[ r_c = \frac{d}{2} \]
Where:
The circumradius of a rectangle is the radius of the circle which contains the rectangle with all its vertices lying on the circle.
The diagonal of the rectangle is the length of the line joining any pair of opposite vertices of the rectangle.
Let's assume the following value:
Using the formula:
\[ r_c = \frac{10}{2} \approx 5 \, \text{meters} \]
The circumradius is approximately 5 meters.
| Diagonal (meters) | Circumradius (meters) |
|---|---|
| 1 | 0.5000 |
| 2 | 1.0000 |
| 3 | 1.5000 |
| 4 | 2.0000 |
| 5 | 2.5000 |
| 6 | 3.0000 |
| 7 | 3.5000 |
| 8 | 4.0000 |
| 9 | 4.5000 |
| 10 | 5.0000 |
| 11 | 5.5000 |
| 12 | 6.0000 |