Formulario: Matemáticas - Geometría - Square

Square

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

Definiciones:

  • a: Borde longitud
  • d: Diagonal
  • U: Perímetro
  • A: Área
a a U d U

Square alcance

The perimeter U is the length of all 4 sides.

\( {\color{blue} {U}} = 4 \times {\color{red} {a} } \)
U = Perímetro
a = Borde longitud

\( {\color{blue} {U}} =2 \times \sqrt{2} \times {\color{red} {d} } \)
U = Perímetro
d = Diagonal


a A d A

Square superficie

The region inside a square.

\( {\color{OliveGreen} {A}} = {\color{red} {a} } \times {\color{red} {a} } = {\color{red} {a} }^{2} \)
A = Área
a = Borde longitud

\( {\color{OliveGreen} {A}} = \frac{ {\color{red} {d} }^{2} }{2} \)
A = Área
d = Diagonal


a d

Teorema Pitágoras

\( d=sqrt(2*a^2) \)
d = Diagonal
a = Borde longitud

\( a=sqrt( d^2/2 ) \)
a = Borde longitud
d = Diagonal