How to Calculate Square Area
What is Square Area?
A square calculator computes area, perimeter, diagonal, and side length from any one known property of a square.
Formula
Area = side²; Perimeter = 4 × side; Diagonal = side × √2
- s
- Side length (units)
- A
- Area (square units)
- P
- Perimeter (units)
Step-by-Step Guide
- 1Area = s²
- 2Perimeter = 4s
- 3Diagonal = s√2
- 4From area: s = √Area; from diagonal: s = diagonal/√2
Worked Examples
Input
Square side = 7 cm
Result
Area = 49 cm²; Perimeter = 28 cm; Diagonal = 9.899 cm
Frequently Asked Questions
How is a square different from a rectangle?
Square: all 4 sides equal, all angles 90°. Rectangle: opposite sides equal, all angles 90°.
What's the diagonal of a 5×5 square?
Diagonal = 5 × √2 ≈ 7.07 units.
Why is area = side²?
Area measures 2D space. 5×5 square = 5 units wide × 5 units tall = 25 square units.