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Arc Length Calculation

Arc Length Calculation
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2013-08-26 02:11
CircleTrigonometryGeometric Construction
In collections Unit 9 - Circles Mathematics (Arc Length & Sector Areas)
This example demonstrates how to calculate the arc length corresponding to a central angle. Key mathematical concepts include the properties of circles and the arc length formula. Using GeoGebra commands such as Circle, Point, Segment, and CircleArc, the relationship between arc length and central angle is dynamically illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(O, X) → c
  2. Point(c) → A
  3. Point(c) → B
  4. Segment(A, O) → Radius
  5. Segment(O, B) → b
  6. CircleArc(O, A, B) → d
  7. Angle(A, O, B) → θ
  8. CircleSector(O, A, B) → e
  9. Area(c) → Area
  10. Length(d) → Arc
  11. Circumference(c) → Circumference
  12. Area(e) → Sector

AI Drawing Prompt Reference

Draw a circle c with center O, then take two points A and B on the circle, connect O and A to form radius OA, connect O and B to form OB, use A and B to draw an arc d, measure ∠AOB to get angle θ, and use A, O, and B to draw a sector e. Calculate the area of circle c, the length of arc d, and the area of sector e.
The prompt above was compiled from the original drawing commands and is for reference only.