Equations of Circles (Standard Form)
Loading the math board and drawing, please wait…
This example demonstrates the standard form of circle equations. It involves the concepts of a circle's center and radius. Using GeoGebra commands Circle and objects A, c, it dynamically shows how the equation of a circle changes with variations in its center and radius. Suitable for middle and high school students learning coordinate geometry.
GeoGebra Commands & Parameters
Circle(A, 3) → c
AI Drawing Prompt Reference
Draw a circle with center at point A and radius 3. The equation of the circle is (x-a)²+(y-b)²=9, where (a,b) are the coordinates of point A. Change the position of point A and observe how the circle equation changes.
The prompt above was compiled from the original drawing commands and is for reference only.