High School · Expressing Geometric Properties with Equations

CCSS.MATH.CONTENT.HSG.GPE.A.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

Read this standard on the official Common Core site

Lessons that teach this standard

• The Equation of a Circle

  How the Pythagorean theorem gives the equation of a circle, how to read the center and radius from it, and how completing the square recovers them from expanded form.

• Conic Sections in General Form

  Tell a circle, ellipse, parabola and hyperbola apart from Ax² + Cy² + Dx + Ey + F = 0, then complete the square to find the center, radius, vertices and axes.