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формула: математика - геометрия - круг

круг

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

Определения:

  • r: Радиус
  • d: Диаметр
  • U: Периметр
  • A: Площадь
rUdU

окружность

The circumference U is the distance around a closed curve.

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

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

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

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


ArAd

Площадь круга

The region inside a circle.

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

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

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

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