Use this square diagonal calculator to quickly determine the diagonal of a square using its side length. The tool helps you easily calculate square diagonal with precision.
d = diagonal of the square
s = side length
The square diagonal formula shows that the diagonal equals the side length multiplied by the square root of two. This equation comes from the Pythagorean theorem.
| Side Length | Diagonal |
|---|---|
| 2 | 2.828427 |
| 5 | 7.071068 |
| 10 | 14.142136 |
| 20 | 28.284271 |
| 50 | 70.710678 |
If you want to understand how to find the diagonal of a square manually, you can use the Pythagorean theorem.
1. Take the side length of the square.
2. Multiply the value by √2.
3. The result is the diagonal of the square.
Using the square diagonal formula, it becomes easy to calculate square diagonal without complex geometry.
This square diagonal calculator automatically applies the correct square diagonal formula to compute the diagonal length. Just enter the side length and the calculator will instantly calculate square diagonal.
The tool displays results with up to six decimal places and works on all devices. It is useful for students, architects, engineers, and anyone learning how to find the diagonal of a square.
• The diagonal of a square is always longer than the side by a factor of √2.
• The diagonals of a square are equal and intersect at a right angle.
• Diagonals divide a square into two identical right triangles.
• The diagonal also passes through the exact center of the square.
• Square diagonals are widely used in construction and geometry calculations.