A-Math: General Equation of Circle – Linked to Completing Square

In the previous post, I have discussed the standard equation of circle which is derived from distance formula.

The other equation of circle is known as General.

Example

To answer this question easily, you need your completing square technique (Read about the steps here) which many students dislike!

You notice in the step by step solution, the general equation is converted into a standard equation through the following steps:

1. Arrange all x terms and y terms together
2. Start completing square
3. Simplify all constants
4. Set equation into standard equation of circle

General Equation to Standard Equation of Circle

Radius = 5 and Centre of circe = (4, 1)

I hope you have a better understanding on equation of circle.

Related Posts:

• A-Math: Standard Equation of Circle – Derived from Distance Formula
• E-Maths: Completing Square Step-by-Step Video (Part 1)
• Quadratic Equation – Completing The Square Method