Standard & General Equations of Circles
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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
Line(A, xAxis) → sPoint(s) → sliderSegment(A, slider) → rCircle(C, r) → cPoint(c) → DSegment(C, D) → tIf(sgn(coeffx) > 0, "+", "") → px