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Arc Length and Sector Area

Arc Length and Sector Area
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2023-05-18 19:56
CircleIntegralGeometric Construction
This example demonstrates the calculation of arc length and sector area. It involves the geometric properties of circles and area calculations. Using GeoGebra commands such as Point, Ray, Circle, Segment, Rotate, etc., it constructs objects like arcs, sectors, and angles. Suitable for students in middle school and above to learn about circle-related knowledge.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Ray(A, (1, 0)) → h
  3. Point(h) → B
  4. Circle(A, B) → c
  5. Segment(A, B) → f
  6. Rotate(B, (a * pi / 180), A) → B'
  7. Angle(B, A, B') → α
  8. CircleArc(A, B, B') → d
  9. Segment(A, B') → g
  10. CircleSector(A, B, B') → e
  11. Textfield(a) → InputBox1
  12. Area(c) → l
  13. Circumference(c) → m
  14. Textfield(n) → InputBox2
  15. FractionText(a / 360) → text8

AI Drawing Prompt Reference

Draw a circle with the center on the y-axis, passing through a point. Draw a ray from the center to that point. Rotate the point to form an angle. Draw an arc and a sector based on the center and the point. Add text boxes to display the angle and fraction.
The prompt above was compiled from the original drawing commands and is for reference only.