This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# Circle

 Circleis a two-dimensional graphics primitive that represents a circle of radius r centered at the point x, y. Circlegives a circle of radius 1. Circlegives a circular arc. Circlegives an ellipse with semi-axes of lengths and , oriented parallel to the coordinate axes.
• Angles are measured in radians counterclockwise from the positive x direction.
• Circle yields a segment of an ellipse obtained by transforming a circular arc with the specified starting and ending angles. »
• Scaled or Scaled can be used in the radius specification. The are in scaled coordinates, and the are in ordinary coordinates.
• Offset can be used to specify radii in printer's points. »
• The thickness of the circle can be specified using the Thickness directive. »
• Individual coordinates, lists of coordinates, and parameters in circles can be Dynamic objects.
A unit circle:
A circular arc:
An ellipse:
Differently styled circles:
A unit circle:
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A circular arc:
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An ellipse:
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Differently styled circles:
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 Scope   (13)
Specify centers:
A circular arc:
An ellipse:
An elliptical arc:
Short form for a unit circle at the origin:
Circles with different thicknesses:
Thickness in scaled size:
Thickness in printer's points:
Dashed circles:
Colored circles:
Use Offset coordinates:
Use Offset to specify the radii in printer's points:
 Applications   (3)
The square packing of circles:
The hexagonal packing of circles:
Define the circumcenter of a triangle:
Draw the circumcircle of an arbitrary triangle:
Simulation of elliptical gears:
Use Rotate to get all possible ellipses:
To create a filled circle use Disk:
The 3D generalization is Sphere:
An implicit specification of a circle can be generated by ContourPlot:
A parametric specification of a circle can be generated by ParametricPlot:
Using Scaled radii will depend on the PlotRange:
Using ImageScaled sizes will depend on the ImageSize and AspectRatio:
Random circles:
The seed of life:
A family of circles:
Yin and yang: