The formula to calculate the area of a square given the diameter of its circumcircle is:
\[ A = \frac{D_c^2}{2} \]
Where:
The area of a square is the total quantity of plane enclosed by the boundary lines of the square.
The diameter of the circumcircle of a square is the diameter of 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:
\[ A = \frac{14^2}{2} = 98 \, \text{square meters} \]
The area of the square is 98 square meters.
| Diameter (m) | Area (m²) |
|---|---|
| 10 | 50.000000000000 |
| 12 | 72.000000000000 |
| 14 | 98.000000000000 |
| 16 | 128.000000000000 |
| 18 | 162.000000000000 |
| 20 | 200.000000000000 |