Stage 30 · Analytic Geometry

30.4.2 The Standard Equation of a Circle

30.4 The Circle: Equation and Positional Relationships

Point 2 of 6

30.4.2 The Standard Equation of a Circle

Core idea

Just announce the center (a,b) and radius r and you get (x−a)²+(y−b)²=r².

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 · 30.4.2 The Standard Equation of a Circle