When given three points, there is only one possible circle that passes though all of those points. In this video, I describe the algebra that can be used to write the equation of that circle in standard form.
This video assumes you already have a basic understanding of the equations of circles. However, the algebra required to solve problems like this is fairly basic.
Other videos about conic sections:
Equations of Circles: The Basics
https://youtu.be/i83lvDbie-A
Finding the Diameter Given the Equation of a Circle
https://youtu.be/7Is-6c1odnU
How to Draw the Graph of an Ellipse
https://youtu.be/UU2mBewIdbc
Writing the Equation of an Ellipse Given its Graph
https://youtu.be/vftJoCvsguo
If you have any questions, feel free to ask in the comments section.