The formula to calculate the area of a square given the circumradius is:
\[ A = 2 \cdot r_c^2 \]
Where:
The area of a square is the total quantity of plane enclosed by 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:
\[ A = 2 \cdot 7^2 = 98 \text{ m}^2 \]
The area is 98 square meters.
| Circumradius (m) | Area (m²) |
|---|---|
| 5 | 50.00 |
| 6 | 72.00 |
| 7 | 98.00 |
| 8 | 128.00 |
| 9 | 162.00 |
| 10 | 200.00 |