Circle - Equation

The equation for a circle

Circle - equation

Unit Circle

The equation of a unit circle - where the center of the circle is located in the origo of the coordinate system and the radius = 1 - can be expressed as

x2 + y2 = 1                                (1)

Standard Form

The standard form for the equation of a circle can be expressed as

(x - a)2 + (y - b)2 = r2                            (2)

where

a = x coordinate position of the circle center

b = y coordinate position of the circle center

r = circle radius

General Form

The general form for the equation of a circle can be expressed as

x2 + y2 + A x + B y + C = 0                                  (3)

where

A, B, C = constants

Radius of circle

r = (a2 + b2 - C) 1/2                                       (4)

Coordinates in the Circle Centre

a = - A / 2                                   (5a)

b = - B / 2                                   (5b)

Related Topics

  • Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

Related Documents

Tag Search

  • en: circle equation
  • es: círculo ecuación
  • de: Kreisgleichung

Search the Engineering ToolBox

- "the most efficient way to navigate!"

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your SketchUp model with the Engineering ToolBox - SketchUp Extension/Plugin - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

Translate the Engineering ToolBox!
About the Engineering ToolBox!

close