Circle's Standard Equation Demo

This example demonstrates the standard equation of a circle and its geometric interpretation by dynamically adjusting the center coordinates and radius to show equation changes. Core math concepts include the standard equation (x-h)²+(y-k)²=r², coordinate geometry, and the application of complex numbers in circles. Construction highlights involve using GeoGebra commands like Center for creating the center, Point for plotting points on the circle, and Segment for drawing lines, with objects h, k, r, c, A, B, a, text1 for parameterization and labeling. Suitable for high school students learning circle equations, parametric representation, and dynamic geometric properties.