Advanced Square Calculator

Advanced Square Calculator

Calculate area, perimeter, diagonal, and side length of squares with interactive visualization

⬜ Square Calculator

Calculate square properties from various inputs

From Side
From Area
From Perimeter
Enter the side length of the square

📊 Square Properties

Complete square measurements and properties

Input: Side: 5 ft
Side Length: 5.00 ft
Area: 25.00 ft²
Perimeter: 20.00 ft
Diagonal: 7.07 ft

📈 Square Properties

Visual representation of square measurements

🔲 3D Square & Cube

Interactive 3D visualization

Mouse: Rotate view
Wheel: Zoom in/out

Square Geometry Guide

A square is a regular quadrilateral with four equal sides and four right angles. Understanding square properties is fundamental in geometry, construction, design, and mathematics.

Square Formulas

Area = Side Length²
Perimeter = 4 × Side Length
Diagonal = Side Length × √2
Side Length = √Area
Side Length = Perimeter ÷ 4

Area: The area of a square represents the amount of space it covers. Since all sides are equal, it's simply the side length multiplied by itself (squared).

Perimeter: The perimeter is the total distance around the square. Since all four sides are equal, it's four times the side length.

Diagonal: The diagonal of a square is the distance from one corner to the opposite corner. It's longer than the side by a factor of √2 (approximately 1.414).

Applications: Squares appear frequently in architecture (floor tiles, windows), engineering (cross-sections, components), art (compositions, grids), and mathematics (coordinate systems, geometric proofs).

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