The General Equation of a Circle builds the equation from the Pythagorean Theorem. Of fundamental importance is the geometric definition and the method by which we convert geometric descriptions into algebraic formulas. The lesson on Analytic Geometry may be useful for students trying to understand the connection between algebra and geometry. The conversion from the general form to the standard form is saved for a lesson on Completing the Square.
Precalculus by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.