Formeln : Mathematik - Geometrie

Quadrat □

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

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

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

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

d = Diagonale

a = Kantenlänge

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

a = Kantenlänge

d = Diagonale