Changes

[[Image:265px-Circle Area svg.png|right|thumb|Area of the circle = <math>\pi</math> × area of the shaded square]]

[[Image:265px-Circle Area svg.png|right|thumb|Area of the circle = <math>\pi</math> × area of the shaded square]]

A '''circle''' is the [[set]] of all the points in a given [[plane]] that are the same distance, called the [[radius]], ''r'', from a given [[point]] called the center.

A '''circle''' is the [[set]] of all the points in a given [[plane]] that are the same distance, called the [[radius]], ''r'', from a given [[point]] called the [[center]].

A circle may also be defined [[algebra]]ically, as the set of solutions to an equation of the form:

A circle may also be defined [[algebra]]ically, as the set of solutions to an equation of the form:

where <math>(a,b)</math> is the center of the circle.

where <math>(a,b)</math> is the center of the circle.

The distance around the circle, or circumference, is given by:

The distance around the circle, or [[circumference]], is given by:

:<math>C = 2\pi*r</math>

:<math>C = 2\pi*r</math>

[[Category:Geometry]]

[[Category:Geometry]]