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Arc Length and Sector Area by B Hanson

Arc Length and Sector Area by B Hanson
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2014-12-13 23:43
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to calculate arc length and sector area using geometric construction. Key mathematical concepts include circle properties, angles, and area formulas. GeoGebra commands used include Intersect, Circle, Segment, Rotate, Angle, CircleSector, Area, Circumference, CircleArc, Length, Point, Distance. Suitable for middle and high school students learning geometry and related concepts.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, r) → c
  3. Intersect(c, xAxis, 2) → B
  4. Segment(A, B) → a
  5. Rotate(B, α, A) → B'
  6. Angle(B, A, B') → β
  7. Segment(A, B') → b
  8. CircleSector(A, B, B') → Sector
  9. Area(Sector) → e
  10. Area(Sector) → f
  11. Circumference(c) → circumferencec
  12. CircleArc(A, B, B') → d
  13. Length(d) → g
  14. Point(c) → C
  15. Point(c) → D
  16. Segment(C, D) → h
  17. Distance(C, D) → distanceCD