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Formulary: Maths - Geometry - Square □

Square □

A square is a basic shape which has four equal sides and four equal right angles (90°).

Definitions:

  • a: Edge Length
  • d: Diagonal
  • U: Perimeter
  • A: Area
aaUdU

Perimeter of a Square

The perimeter U is the length of all 4 sides.

U=4×a
U = Perimeter
a = Edge Length

U=2×2×d
U = Perimeter
d = Diagonal


aAdA

Area of a Square

The region inside a square.

A=a×a=a2
A = Area
a = Edge Length

A=d22
A = Area
d = Diagonal


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Pythagorean Theorem

d=sqrt(2a2)
d = Diagonal
a = Edge Length

a=sqrt(d2/2)
a = Edge Length
d = Diagonal