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Arc Length and Sector Area Calculation

Arc Length and Sector Area Calculation
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2016-02-14 12:57
CircleTrigonometryGeometric Construction
This example demonstrates how to calculate arc length and sector area through geometric construction. Key mathematical concepts include properties of circles, angles, and the formula for sector area. Using GeoGebra commands such as CircleArc and CircleSector, you can dynamically adjust the radius and angle of the circle to observe changes in arc length and sector area. Suitable for middle school and above students learning geometric construction and related calculations.

GeoGebra Commands & Parameters

  1. Textfield(r) → InputBox1
  2. Textfield(θ) → InputBox2
  3. Circle(A, 2) → c
  4. Intersect(c, a, 2) → B
  5. Rotate(B, d°, A) → B'
  6. Angle(B, A, B') → α
  7. Segment(A, B) → b
  8. Segment(A, B') → e
  9. CircleArc(A, B, B') → f
  10. CircleSector(A, B, B') → g