Venn Diagrams with Circles: Visual Set Operations via Intersection Regions

This example visualizes set operations using circular Venn diagram geometry: by constructing overlapping circles, the intersection and non-intersection regions directly correspond to the results of operations such as union and intersection. The key math ideas are set theory (set operations and region-based reasoning via Venn diagrams) together with geometric construction concepts—building boundaries from circle intersections and using sector/segment shapes to highlight the relevant areas. Construction is driven by creating points and polygonal structure first, then defining circles and computing their intersections to obtain the region-defining points, and finally using sector and segment objects to render the partitioned regions clearly. From the construction summary, it uses GeoGebra commands such as Polygon, Point, Circle, Intersect, CircleSector, and Segment, along with objects including A1–A30 (construction points), Universe (the universal set), A/B/C/D (set labels), and CenterA (a circle center). Suitable for upper-secondary through early undergraduate learning, and for lessons connecting abstract set operations to concrete geometric regions.