Formeln: Mathematik - Geometrie - Quadrat □

Quadrat □

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

Definitionen:

  • a: Kantenlänge
  • d: Diagonale
  • U: Umfang
  • A: Fläche
a a U d U

Umfang eines Quadrats

The perimeter U is the length of all 4 sides.

\( {\color{blue} {U}} = 4 \times {\color{red} {a} } \)
U = Umfang
a = Kantenlänge

\( {\color{blue} {U}} =2 \times \sqrt{2} \times {\color{red} {d} } \)
U = Umfang
d = Diagonale


a A d A

Fläche eines Quadrats

The region inside a square.

\( {\color{OliveGreen} {A}} = {\color{red} {a} } \times {\color{red} {a} } = {\color{red} {a} }^{2} \)
A = Fläche
a = Kantenlänge

\( {\color{OliveGreen} {A}} = \frac{ {\color{red} {d} }^{2} }{2} \)
A = Fläche
d = Diagonale


a d

Satz des Pythagoras

\( d=sqrt(2*a^2) \)
d = Diagonale
a = Kantenlänge

\( a=sqrt( d^2/2 ) \)
a = Kantenlänge
d = Diagonale