Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

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

Search

Search is the most efficient way to navigate the Engineering ToolBox.

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 - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .

Citation

This page can be cited as

  • The Engineering ToolBox (2014). Circle - Equation. [online] Available at: https://www.engineeringtoolbox.com/circle-equation-d_1904.html [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter

















































3.27.8

.