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Area of Sector

Area of Sector
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2015-03-07 23:22
CircleFunctionGeometric Construction
In collections Surface Area and Volume
This example demonstrates the calculation of sector area by dragging the red buttons to change the sector's area. Key concepts include the area of a circle and angles. It uses commands such as CircleSector, Length, PointIn, Angle, Segment, Point, Intersect, CircleArc, Midpoint, Center. Suitable for middle school and above students to learn sector area calculation.

GeoGebra Commands & Parameters

  1. CircleSector(A, B, C) → c
  2. Length(c) → a
  3. PointIn(c) → Pointc
  4. Angle(B, A, C) → α
  5. Segment(A, C) → b
  6. Segment(A, B) → d
  7. Point(c) → D
  8. Intersect(c, b, 1) → E
  9. CircleArc(A, B, E) → e
  10. Midpoint(d) → F
  11. Segment(A_1, B_1) → d_1
  12. Midpoint(d_1) → F_1
  13. Center(c) → G
  14. Intersect(c, e, 1) → H
  15. Intersect(c, e, 1) → I