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Equation of a Circle: Advanced Topics

Equation of a Circle: Advanced Topics

Author: Alex G

After completing this packet you will be able to:
*Rewrite any equation for a circle in standard form
*Find the center and radius of any circle, given its equation

This packet includes a short video about completing the square to find the standard form of a circle and then a set of practice problems (with solutions) for you to complete on your own.

Cover art for this packet was taken from the Morgue File website at
Morgue File allows use of its images for creative work.

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Are You New to Circles?

This packet assumes that you are familiar with finding the center and the radius of a circle, given the standard form of an equation for a circle.  You can find this lesson in my packet "Equation of a Circle: Introduction"

Statement of Purpose

Completing the Square Steps

These steps will also be explained in the videos.

Example 1

Explanation of Example 1

Example 2

Explanation of Example 2

Example 3

Explanation of Example 3

Practice Problems

Complete these problems to test your fluency. Make sure you complete the problem before you advance the slideshow to the complete solution