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Properties of Square Calculator

Online square properties calculator. Enter the side length to get area, perimeter, and diagonal (side × √2), with formulas—great for elementary geometry.

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Equal sides, right angles; diagonal=a√2
Side length

📖 Tutorial | Square

1. Definition
A square is both a rectangle and a rhombus.
2. Formula & Notation
aSide
dDiagonal, a√2
3. Properties & Laws
  • Equal sides, right angles;
  • Equal, perpendicular diagonals;
  • Area=a², perimeter=4a;
  • 4 symmetry axes.
4. Steps
  1. Enter side a;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: side 5.
Solution: area 25, perimeter 20, diagonal ≈7.07.
6. Common Pitfalls
Diagonal a√2, not 2a;
Has both rectangle and rhombus traits;
4 axes.

❓ FAQ | Square

Properties?
Equal sides; equal, perpendicular diagonals.
Area, perimeter?
a² and 4a.
Side 5 diagonal?
≈7.07.
Diagonal?
a√2.
Symmetry axes?
4.
A square is?
Special rectangle and rhombus.