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Shading Demonstration

Shading Demonstration
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2015-04-27 09:47
CircleFunctionCoordinate GeometryGeometric ConstructionSlider Animation
In collections Circumference, Area, and Volume
This example dynamically demonstrates the area change of shaded regions formed by the intersection of a circle and a line, involving core math concepts like expected value, algebra, quadratic equations, right triangles, and natural numbers. It uses GeoGebra commands such as Circle, Line, Point, and OrthogonalLine with objects like r, A, B, C, c, f, D, t, a, E, b. Suitable for high school mathematics teaching, focusing on geometric constructions and function graph intersections.

GeoGebra Commands & Parameters

  1. Circle(A, 5) → c
  2. Circle(A, r) → f
  3. Line(B, C) → a
  4. Point(a) → E
  5. OrthogonalLine(E, a) → b

AI Drawing Prompt Reference

Draw a circle c with center A and radius 5, then draw another circle f with center A and radius r. Next, draw a line a through points B and C, take a point E on line a, and finally draw a line b perpendicular to line a and passing through point E, demonstrating the area changes of shaded regions formed by the intersection of the circle and the line.
The prompt above was compiled from the original drawing commands and is for reference only.