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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 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:
:<math>x^2 + y^2 = r^2</math>
:<math>(x-a)^2 + (y-b)^2 = r^2</math>,
where <math>(a,b)</math> is the center of the circle.
The measure of the line that forms 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>