Formeln : Mathematik - Geometrie

Kreis ○

A circle is a basic shape consisting of the points at a given distance from a given point on a plane.

The circumference U is the distance around a closed curve.

\( {\color{blue} {U}} = 2 \times \pi \times {\color{red} {r} } \)

U = Umfang

r = Radius

\( {\color{red} {r}} = \frac{ {\color{blue} {U} } }{ 2 \times \pi } \)

r = Radius

U = Umfang

\( {\color{blue} {U}} = \pi \times {\color{red} {d} } \)

U = Umfang

d = Durchmesser

\( {\color{red} {d}} = \frac{ {\color{blue} {U} } }{ \pi } \)

d = Durchmesser

U = Umfang

The region inside a circle.

\( {\color{OliveGreen} {A}} = \pi \times {\color{red} {r} }^{2} \)

A = Fläche

r = Radius

\( {\color{red} {r}} = \sqrt{ \frac{\color{OliveGreen} {A}}{\pi} } \)

r = Radius

A = Fläche

\( {\color{OliveGreen} {A}} = \frac{\pi}{4} \times {\color{red} {d} }^{2} \)

A = Fläche

d = Durchmesser

\( {\color{red} {d}} = \sqrt{ \frac{4 \times {\color{OliveGreen} {A} } }{\pi}} \)

d = Durchmesser

A = Fläche