Standard & General Equations of Circles

Standard & General Equations of Circles
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2019-03-14 03:22
This example demonstrates the standard and general equations of circles. It involves the geometric properties and algebraic representation of circles. By adjusting the radius with a slider, you can observe how the equation changes as the center and radius vary. The construction uses commands such as Line, Point, Segment, Circle, and If.

GeoGebra Commands & Parameters

  1. Line(A, xAxis) → s
  2. Point(s) → slider
  3. Segment(A, slider) → r
  4. Circle(C, r) → c
  5. Point(c) → D
  6. Segment(C, D) → t
  7. If(sgn(coeffx) > 0, "+", "") → px