Geometric Venn Diagrams: Circle Intersections for Set Relationships

This example demonstrates how overlapping circles can be used to visualize set relationships, such as intersection and union regions, by mapping logical set operations to geometric areas. The key mathematical concepts are basic set theory (intersection/union and related region interpretation) and the geometry of intersecting circles that determines the boundary points of each region. Construction in GeoGebra uses Circle to create the required circles, Intersect to compute their intersection points, CircleArc to form the curved boundaries, and Polygon to assemble region outlines from the derived points. Labeled objects (e.g., points like A, B, C and circle objects such as d/e/f) together with text annotations (text1–text9) help identify each set region. Suitable for middle school through early university levels, especially for teaching set theory with geometric intuition and for learning geometric construction workflows.