Central Angles, Inscribed Angles, and Their Intercepted Arcs by Stephanie Stern

This GeoGebra example demonstrates the relationship between central angles, inscribed angles, and their intercepted arcs in a circle. It visually shows that an inscribed angle is half the measure of the central angle subtending the same arc. Core mathematical concepts include central angle, inscribed angle, arc measure, and the theorem linking them. The construction uses GeoGebra commands such as Circle, Point, Segment, CircleArc, and Angle, with objects like A, B, C, D, E, and variables CentAng, InscAng, ArcMea, ARC to dynamically update measurements. Suitable for middle or high school geometry lessons, this interactive tool helps students discover the inscribed angle theorem through exploration and is ideal for classroom demonstration or self-paced learning.