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Area of a Sector of a Circle

Area of a Sector of a Circle
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2012-04-25 23:53
CircleAngleGeometric Construction
This example demonstrates how to dynamically calculate the area of a circular sector, involving core concepts like circle, sector, angle, and area calculation. It uses GeoGebra commands such as Circle, Intersect, Segment, Point, CircleSector, Angle, and Area. Suitable for high school mathematics teaching, helping students visually understand the derivation of the sector area formula.

GeoGebra Commands & Parameters

  1. Circle(D, CookieSize + a) → d
  2. Intersect(d, b, 1) → A
  3. Intersect(d, b, 2) → B
  4. Intersect(d, a_1, 2) → C
  5. Intersect(d, a_1, 1) → E
  6. Intersect(d, xAxis) → F, G
  7. Segment(D, G) → c
  8. Point(c) → H
  9. Circle(D, H) → e
  10. Segment(D, H) → Radius
  11. Intersect(e, a_1) → I, J
  12. Intersect(e, b) → K, L
  13. Intersect(e, yAxis) → O, P
  14. Intersect(e, xAxis) → M, N
  15. Intersect(e, Radius, 1) → Q
  16. Segment(P, O) → f
  17. Segment(L, K) → g
  18. Segment(M, H) → h
  19. Segment(J, I) → i
  20. Point(Radius) → R
  21. Point(e) → S
  22. CircleSector(R, J, S) → k
  23. Angle(J, R, S) → α
  24. Angle(S, R, J) → β
  25. Area(e) → j