This is a worked example — clear the field and enter your own value, then press Calculate.
Know any one property of a square, its side, area, perimeter, or diagonal, and every other property follows directly. This calculator solves for all of them from whichever single value you have.
Because a square’s geometry is fully determined by a single measurement, any one of side length, area, perimeter, or diagonal, this calculator works backward from whichever value you provide to derive all the others.
Beyond the four basic properties, this calculator also computes the incircle radius (the largest circle that fits perfectly inside the square, touching all four sides) and the circumcircle radius (the smallest circle that passes through all four corners), useful in geometry problems and design work involving circles inscribed in or circumscribed around a square.
Rather than just returning the four numbers, this calculator shows the full derivation from your known value to every other property, useful for checking your own work or understanding exactly how each formula connects to the others rather than just accepting a final answer.
Yes, from area you can derive the side length (square root of the area), and from the side length, the diagonal follows directly as side × √2. This calculator performs that full chain automatically from whichever single value you provide.
The incircle radius is for the largest circle that fits inside the square touching all four sides (equal to half the side length), while the circumcircle radius is for the smallest circle passing through all four corners (equal to half the diagonal).