BUILT-IN MATHEMATICA SYMBOL

Circle

is a two-dimensional graphics primitive that represents a circle of radius r centered at the point x, y.

Circle

gives a circle of radius 1.

Circle

gives a circular arc.

Circle

gives an ellipse with semi-axes of lengths

and

, oriented parallel to the coordinate axes.

MORE INFORMATION

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.

Circle[{x, y}, Scaled[s]] gives a circle of scaled radius s. »

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.

Circle is equivalent to Circle. »

EXAMPLES

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Basic Examples (4)

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 radii:

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:

Using Scaled coordinates and radii:

Use ImageScaled coordinates and radii:

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:

Properties & Relations (5)

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:

Possible Issues (2)

Using Scaled radii will depend on the PlotRange:

Using ImageScaled sizes will depend on the ImageSize and AspectRatio:

Neat Examples (4)

Random circles:

The seed of life:

A family of circles:

Yin and yang: