# Difference between revisions of "Circle"

m |
|||

Line 1: | Line 1: | ||

==Definition== | ==Definition== | ||

*The [[locus]] of points distance <math>\displaystyle {r}</math>(radius) from center <math>{O}</math> | *The [[locus]] of points distance <math>\displaystyle {r}</math>(radius) from center <math>{O}</math> | ||

− | *A cross section of a cone or cylinder parallel to the base. For more on this, see [[Dandelin Spheres]], a commonly used method of deriving all [[ | + | *A cross section of a cone or cylinder parallel to the base. For more on this, see [[Dandelin Spheres]], a commonly used method of deriving all [[Conic sections]]. |

*<math>(x - a)^{2} + (y - b)^{2} = r^{2} </math> for a circle centered at <math>(a,b)</math> with radius <math>{r}</math> | *<math>(x - a)^{2} + (y - b)^{2} = r^{2} </math> for a circle centered at <math>(a,b)</math> with radius <math>{r}</math> | ||

Line 16: | Line 16: | ||

*[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=423848#p423848 2006 AMC 12A #21] | *[http://www.artofproblemsolving.com/Forum/viewtopic.php?p=423848#p423848 2006 AMC 12A #21] | ||

− | + | == See Also == | |

*[[Pi]] | *[[Pi]] | ||

*[[Power of a point]] | *[[Power of a point]] |

## Revision as of 18:06, 19 June 2006

## Definition

- The locus of points distance (radius) from center
- A cross section of a cone or cylinder parallel to the base. For more on this, see Dandelin Spheres, a commonly used method of deriving all Conic sections.
- for a circle centered at with radius

## Formulas

**Area****circumference**

## Other Properties

- The perpendicular bisector of any chord in the circle is a diameter
- awaiting diagrams to add stuff on inscribed angles + tangents.