Circle Formulas, Algebra

Posted In: Mathematics

A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant.
Radius: R
Diameter: d
Chord: a
Secant segment: e,f
Tangent segment: g
Central angle: α
Inscribed angle: β
Perimeter: L
Area: S

  1. $a=2R\ sin\ α/2$
  2. $a_1a_2=b_1b_2$
  3. $ee_1=ff_1$
  4. $g^2=ff_1$
  5. $β=α/2$
  6. $L=2πR=πd$
  7. $S=πR^2={πd^2}/4={LR}/2$

Post Tags: Geometry

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