Art of Problem Solving
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Circle: Difference between revisions

mNo edit summary
Other Properties: clipped technically incorrect info (diameter is a segment, perp bis is a line)
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*'''circumference''' <math>\displaystyle 2\pi r</math>
*'''circumference''' <math>\displaystyle 2\pi r</math>
==Other Properties==
==Other Properties==
* The perpendicular bisector of any chord in the circle is a diameter.
 
* awaiting diagrams to add stuff on inscribed angles + tangents.
* awaiting diagrams to add stuff on inscribed angles + tangents.



Revision as of 18:37, 19 June 2006

Definition

  • The locus of points distance $\displaystyle {r}$(radius) from center ${O}$
  • 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.
  • $(x - a)^{2} + (y - b)^{2} = r^{2}$ for a circle centered at $(a,b)$ with radius ${r}$

Formulas

  • Area $\displaystyle \pi r^2$
  • circumference $\displaystyle 2\pi r$

Other Properties

  • awaiting diagrams to add stuff on inscribed angles + tangents.

Practice Problems

See Also