About Square Calculations

Squares are fundamental geometric shapes with four equal sides and four right angles. Calculating their properties is essential in fields ranging from architecture to mathematics education.

Formulas Used

Area: A = s² (side squared)
Perimeter: P = 4s (4 times side)
Diagonal: d = s√2 (side times square root of 2)

Example Calculation

For a square with side length 5 units:

Area = 5² = 25 square units
Perimeter = 4 × 5 = 20 units
Diagonal = 5 × √2 ≈ 7.071 units

Practical Applications

Square calculations are used in construction for flooring area, fencing perimeter, and diagonal measurements for squareness verification. In design, they help maintain proportions and create balanced layouts.

Frequently Asked Questions

Can I use decimal or fractional inputs?

Yes, the calculator accepts any positive number including decimals and fractions. For fractions, you may enter them as divisions (e.g., 1/2).

How precise are the calculations?

Results are accurate to machine precision. The diagonal calculation uses JavaScript's Math.sqrt(2) which is precise to about 15 decimal places.

Why is the diagonal longer than the side?

The diagonal crosses the square's interior, forming the hypotenuse of a right triangle with two sides. By the Pythagorean theorem, it's always √2 ≈ 1.414 times longer than the side.

Square Calculator

Input

Results

Visual Representation

Menu

Square Calculator - Area Perimeter Diagonal

AI Assistant

Was this tool helpful?