Square Calculator
Compute the area, perimeter and diagonal of a square from a single side length.
Square Calculator
Compute the area, perimeter and diagonal of a square from a single side length.
How to use the Square Calculator
- Enter the side length.
- Click Calculate.
Formula
Area = a²
Perimeter = 4a
Diagonal = a√2
Example
Side = 7: Area = 49. Perimeter = 28. Diagonal ≈ 9.899.
Step-by-step calculation
- Area: 7² = 49.
- Perimeter: 4 × 7 = 28.
- Diagonal: 7 × √2 ≈ 7 × 1.414 = 9.899.
Real-world uses
- Tile and flooring calculations.
- Pixel and grid measurements.
- Box and cube surface area.
Common mistakes
- Squaring the side instead of multiplying by 4 for perimeter.
- Confusing side with diagonal.
- Forgetting the square root symbol.
Frequently asked questions
Why is the diagonal a√2?
By Pythagorean theorem: d² = a² + a² = 2a², so d = a√2.
Can a square have a diagonal equal to its side?
No. The diagonal is always about 41.4% longer than the side.
How do I find the side from the area?
Side = √Area. For area 49: √49 = 7.