Square Calculator: Solve for Side, Diagonal, Perimeter, and Area

This calculator helps you compute the side, diagonal, perimeter, and area of a square. The formulas are:

Square Formulas

Given side \(x\):
Diagonal \(L = x\sqrt{2}\)   |   Perimeter \(P = 4x\)   |   Area \(A = x^2\)

Given area \(A\):
Side \(x = \sqrt{A}\)   |   Diagonal \(L = \sqrt{2A}\)   |   Perimeter \(P = 4\sqrt{A}\)

Given perimeter \(P\):
Side \(x = \dfrac{P}{4}\)   |   Diagonal \(L = \dfrac{P\sqrt{2}}{4}\)   |   Area \(A = \dfrac{P^2}{16}\)

Given diagonal \(L\):
Side \(x = \dfrac{L}{\sqrt{2}}\)   |   Perimeter \(P = 2\sqrt{2}L\)   |   Area \(A = \dfrac{L^2}{2}\)

How to use: Select what you know, enter its value, set decimal places, and click "Calculate".

Square with side \( x \) and diagonal \(L\)
Figure 1. Square with side \( x \) and diagonal \(L\)

Square Calculator

Enter one known value to calculate the others.

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