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 17:06, 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 
(radius) from center 
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.
