Rectangle Inscribed in Semicircle

This example demonstrates how to draw the largest rectangle inscribed within a semicircle. It involves core math concepts like circles, coordinate geometry, function graphs, trigonometric functions, area calculation, and optimization. Constructed using GeoGebra commands such as Intersect, Polygon, Semicircle, Segment, and Angle. Suitable for high school mathematics teaching on coordinate geometry, trigonometric applications, and optimization problems.