The formula to calculate the circumradius of a rectangle given its perimeter and breadth is:
\[ \text{rc} = \sqrt{P^2 - (4P \cdot b) + (8b^2)} / 4 \]
Where:
The circumradius of a rectangle is the radius of the circle that contains the rectangle with all its vertices lying on the circle.
Let's assume the following values:
Using the formula:
\[ \text{rc} = \sqrt{28^2 - (4 \cdot 28 \cdot 6) + (8 \cdot 6^2)} / 4 \approx 5 \, \text{meters} \]
The circumradius is approximately 5 meters.
| Perimeter (meters) | Breadth (meters) | Circumradius (meters) |
|---|---|---|
| 28 | 6 | 5.0000 |
| 30 | 7 | 5.3151 |
| 32 | 8 | 5.6569 |