Learn how to graph the equation of a circle with the center at the origin

The video tutorial explains how to graph the equation x^2 + y^2 = 12, initially thought to be an ellipse but identified as a circle. The instructor discusses the properties of ellipses, including vertices and axes, and then demonstrates how to transform the equation to recognize it as a circle. The process of graphing the circle involves identifying the center and calculating the radius, which is estimated to be between 3 and 4. The tutorial concludes with the final steps to complete the graph of the circle.

Explain how to graph the equation of a circle based on the information provided.

What is the approximate value of the radius derived from the equation, and how is it estimated?