Square Area Calculator

Calculate the area, perimeter, and diagonal of a square from its side length.

  • Free to use
  • Accurate results
  • No registration required
  • Works on all devices
Enter a square's side length to calculate its area, perimeter, and diagonal.

Your result

25

Area

Perimeter20
Diagonal7.071

AI explanation

Formula

Area = side²; Perimeter = 4 × side; Diagonal = side × √2

Worked example

Square with side 5

Worked example: Square with side 5
FieldValue
Side length5
Area25
Perimeter20
Diagonal7.0711

Assumptions

  • All four sides of a square are equal by definition.

Frequently asked questions

How is the area of a square calculated?

Area = side × side (side squared) — since all four sides are equal, you only need to know one measurement.

How is the diagonal of a square calculated?

Diagonal = side × √2, which comes from the Pythagorean theorem applied to the right triangle formed by two sides and the diagonal.

What if length and width aren't equal?

Then it's a rectangle, not a square — use the Rectangle Calculator, which takes both measurements separately.

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