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Throwing Darts at a Circle by David Wees

Throwing Darts at a Circle by David Wees
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2019-05-04 01:08
CircleCoordinate GeometryProbability & Statistics
This example simulates throwing darts at a circular dartboard to demonstrate probability and circle-related concepts. Using commands like Circle, Line, OrthogonalLine, Intersect, and Polygon, students can visually understand the probability of a dart landing inside or outside the circle. Suitable for middle school and above students to learn about probability and circles.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(A, B) → f
  3. OrthogonalLine(B, f) → g
  4. OrthogonalLine(A, f) → h
  5. Intersect(c, h, 2) → C
  6. Intersect(c, h, 1) → D
  7. Line(C, f) → i
  8. Line(D, f) → j
  9. Intersect(g, i) → E
  10. Intersect(g, j) → F
  11. Intersect(c, f, 2) → G
  12. OrthogonalLine(G, f) → k
  13. Intersect(i, k) → H
  14. Intersect(j, k) → I
  15. Polygon(H, E, F, I) → q1, h_1, e, f_1, i_1
  16. Text("Landed inside the circle: 4") → inside
  17. Text("Landed outside the circle: 1") → outside
  18. Text("Cumulative ratio of darts inside to darts thrown: 0.8") → ratio