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Equations of Circles

Author: chris ludbrook

Introduction to Circles

How to create the graph of a circle from a simple equation.

Source: Khan Academy

Graphing More Complex Circles

 

Unfortunately, not all equations of circles are given in standard form.  Often the first step in graphing the circle is to convert the equation to standard form to identify the find the center and radius.  To do this, we must complete the square. 

 

Source: Integrated Mathematics 2 Notes

Completing the Square

An example that illustrates how to "complete the square".

Source: Khan Academy