Formulaire: mathématiques - Géométrie - Cerne

Cerne

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

Définitions:

  • r: Rayon
  • d: Diamètre
  • U: Périmètre
  • A: Aire
rUdU

Circonférence

The circumference U is the distance around a closed curve.

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

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

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

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


ArAd

Cercle zone

The region inside a circle.

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

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

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

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