MathPlotAI Logo MathPlotAI

Angle Measurement

Angle Measurement
Loading the math board and drawing, please wait…
2015-11-24 00:09
AngleCoordinate GeometryGeometric Construction
This example demonstrates how to measure the angle using GeoGebra. Key mathematical concepts include angle measurement and geometric construction. Using commands such as Point, Circle, Ray, Intersect, Segment, CircleArc, Textfield, Angle, Sequence, the angle measurement can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Circle((0, 0), A) → c
  3. Point(c) → B
  4. Circle(D, abs(y(A)) + 0.75) → d
  5. Ray(D, B) → e
  6. Intersect(d, e, 1) → F
  7. Segment(D, F) → b
  8. CircleArc(D, C, B) → f
  9. Textfield(NumU) → InputBox1
  10. Angle(C, D, B) → α
  11. Sequence(((abs(y(A)) * cos(((i * 2) * π / NumU))), (abs(y(A)) * sin(((i * 2) * π / NumU)))), i, 0, NumU) → list1
  12. Sequence(Segment[(((abs(y(A)) + 0.5) * cos(((i * 2) * π / NumU))), ((abs(y(A)) + 0.5) * sin(((i * 2) * π / NumU)))), (((abs(y(A)) - 0.5) * cos(((i * 2) * π / NumU))), ((abs(y(A)) - 0.5) * sin(((i * 2) * π / NumU))))], i, 0, NumU) → list2
  13. Segment(D, E) → a

AI Drawing Prompt Reference

Draw a circle centered at the origin, take a point B on the circle, draw a tangent line through B, and let the other intersection point be F. Connect DF. Then divide the circle into several points to form a sector, and finally draw the central angle α.
The prompt above was compiled from the original drawing commands and is for reference only.