May 19, 2015

Writing and Graphing the Equations of Circles

Learning Objectives:

Graph a circle.

Find the equation of a circle in the coordinate plane.

Find the radius and center, given the equation of a circle and vice versa.

Find the equation of a circle, given the center and a point on the circle.

Lesson, videos, exercises, and text from CK-12.

Additional resources available at this site.

- Mathematics > General
- Mathematics > Geometry

- Grade 9
- Grade 10

Reason abstractly and quantitatively.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

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.