Outside Circle Intersection and Sector Area Exploration

This example demonstrates the geometric configuration formed when two circles intersect, with their intersection points lying outside the overlapping region, and further calculates the related sector areas. Core mathematical concepts include circle intersection, intersection points, central angles, sector area, and the relationship between arc measure and angle. Construction highlights: using GeoGebra commands such as Circle to create circles, Point and Line for auxiliary points and lines, CircleArc to draw arcs, Intersect to find intersection points, Angle to measure central angles, and Area or Pie Chart tools to compute sector areas. Suitable for high school geometry or introductory calculus, this helps students understand circle-circle positional relationships, the connection between angles and areas, and how dynamic parameter changes affect the figure.