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Circle Segment Area Quick Investigation

Circle Segment Area Quick Investigation
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2018-05-15 07:41
CircleAngleGeometric Construction
In collections Perimeter & Area
This example demonstrates how to quickly investigate the area of a circle segment through interactive operations. Core math concepts involved include circle, angle, sector, and area of a segment. Construction highlights the use of GeoGebra commands and objects like Circle, Rotate, Angle, CircleSector, Segment, Polygon, CircleArc, and Textfield. Suitable for middle school and above students to understand circle geometry and area calculations.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Rotate(B, (a * π / 180), A) → B'
  3. Angle(B, A, B') → α
  4. CircleSector(A, B, B') → d
  5. Segment(B, B') → f
  6. Polygon(A, B, B') → t1, b', a_1, b_1
  7. Segment(A, B) → g
  8. Segment(A, B') → h
  9. CircleArc(A, B, B') → p
  10. Textfield(b) → InputBox1