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Hundredths Disk

Hundredths Disk
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2017-08-11 22:45
CirclePolygonFunctionGeometric ConstructionSlider Animation
This example demonstrates the geometric representation and variation of percentages using a dynamic disk. It involves core math concepts like fractions, variance, rhombus, isosceles triangles, quadratic functions, and complex numbers. Construction highlights include commands like Circle, Sequence, Zip, Point, and Sector. Suitable for middle school and above mathematics education for visualizing the connection between fractions and geometry.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Sequence(Point[{cos(((i * 2) * π / 10)), sin(((i * 2) * π / 10))}], i, 0, 9) → list1
  3. Zip(Segment[(0, 0), A], A, list1) → list2
  4. Sequence(Point[{cos(((i * 2) * π / 100)), sin(((i * 2) * π / 100))}], i, 0, 99) → list3
  5. Sequence(Point[{(0.9 * cos(((i * 2) * π / 100))), (0.9 * sin(((i * 2) * π / 100)))}], i, 0, 99) → list4
  6. Zip(Segment[A, B], A, list3, B, list4) → list5
  7. Point(list3) → A
  8. Point(list3) → B
  9. Sector(c, A, B) → d
  10. Sequence(Point[{cos(((i * 2) * π / 10) + π / 10), sin(((i * 2) * π / 10) + π / 10)}], i, 0, 9) → list6
  11. Zip(Segment[A, (0.85 * A)], A, list6) → list7