Difference between revisions of "Circle"
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==Definition== | ==Definition== | ||
| − | *The [[locus]] of points distance <math>\displaystyle {r}</math>(radius) from center <math>{O}</math> | + | *The [[locus]] of all points in a [[plane]] with 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 [[Conic sections]]. | + | *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]]. |
* All x, y such that <math>(x - a)^{2} + (y - b)^{2} = r^{2} </math> for a circle centered at <math>(a,b)</math> with radius <math>{r}</math> | * All x, y such that <math>(x - a)^{2} + (y - b)^{2} = r^{2} </math> for a circle centered at <math>(a,b)</math> with radius <math>{r}</math> | ||
Revision as of 15:12, 29 June 2006
Definition
- The locus of all points in a plane with 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.
- All x, y such that
for a circle centered at 
with radius 
(radius) from center 
for a circle centered at 
with radius 
Formulas
- Area
- circumference
Other Properties
- awaiting diagrams to add stuff on inscribed angles + tangents.
