Square Area, Perimeter and Diagonal
Square Area, Perimeter and Diagonal
\[\begin{aligned}
A &= a^2 \\
P &= 4a \\
d &= a\sqrt{2}
\end{aligned}\]
Variables
A = area
P = perimeter
d = diagonal
a = side length
Description
What is this formula?
This set of formulas calculates the area, perimeter, and diagonal of a square using the length of one side.
When to use it
Use these formulas in geometry, architecture, engineering, design, and construction whenever square dimensions are involved.
Example
For a square with side length 6 m:
Area:
A = 6² = 36 m²
Perimeter:
P = 4*6 = 24 m
Diagonal:
d = 6*√(2) ≈ 8.49 m
Applications
- Floor and tile calculations
- Structural and architectural layouts
- Graphic and CAD design
- Land and surface measurements
- Manufacturing and fabrication
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