» Area of a Square Calculator


Square Area Calculator: calculate square area from side, diagonal, or perimeter, and reverse the square area formula to find a missing square value from the area.

The area of a square is the space inside a square. Use this calculator to find square area from the side, diagonal, or perimeter, or reverse the formula to find a missing square value from the area.

The main square area formulas are A = a^2, A = d^2 / 2, and A = P^2 / 16. That means you can calculate the area from one side, from the diagonal, or from the perimeter.

In reverse mode, the calculator can find the side from the area, the diagonal from the area, or the perimeter from the area. This makes it useful for both geometry problems and practical square measurements.


Initial Data


Area of a square formula

$$A= a^2$$






Area of a Square Calculator FAQs

What is the formula for the area of a square?
The standard formula is A = a^2, where a is the side length. You can also use A = d^2 / 2 from the diagonal, or A = P^2 / 16 from the perimeter.

How do I calculate the area of a square from the side length?
Multiply the side length by itself. For example, if the side is 10 cm, the area is 100 cm^2.

How do I calculate square area from the diagonal?
Use A = d^2 / 2. For example, if the diagonal is 10 cm, the area is 50 cm^2.

How do I calculate square area from the perimeter?
Use A = P^2 / 16. For example, if the perimeter is 40 cm, the area is 100 cm^2.

Can I find the side, diagonal, or perimeter from the area of a square?
Yes. From the area, you can find the side with a = √A, the diagonal with d = √(2A), and the perimeter with P = 4√A.

Is the area of a square different from the area of a rectangle?
A square is a special rectangle with all sides equal. Its area formula simplifies to A = a^2, but it can also be written using the square diagonal or perimeter.


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