Stage 30 · Analytic Geometry

30.4.3 The General Equation of a Circle

30.4 The Circle: Equation and Positional Relationships

Point 3 of 6

30.4.3 The General Equation of a Circle

Core idea

When it's all expanded and jumbled into x²+y²+Dx+Ey+F=0, completing the square recovers the center and radius.

Module goal. Write the set of points equidistant from a fixed point as an equation, master the circle's two forms, and judge tangency and intersection with lines and other circles.
eastmath.com · 30.4 The Circle: Equation and Positional Relationships · 30.4.3 The General Equation of a Circle