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Arc Length

Arc Length
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2016-05-22 06:07
CircleTrigonometryCoordinate Geometry
This example demonstrates the concept of arc length. By dragging a point on the circle and changing the radius, you can observe the changes in arc length. Key mathematical concepts include the properties of circles and arc length calculation. GeoGebra commands used include point, circle, segment, length, arc, polygon, etc. Suitable for middle school and above students to learn about circles.

GeoGebra Commands & Parameters

  1. Point(h) → B
  2. Circle(A, B) → circ
  3. Segment(A, B) → initialArm
  4. Length(initialArm) → r
  5. Point(circ) → C
  6. Arc(circ, B, C) → arc
  7. Length(arc) → len
  8. Polygon((-0.5, 11.5), (29.5, 11.5), (29.5, 9.5), (-0.5, 9.5)) → poly1, f, g, i, j
  9. CurveCartesian((((1 - animate) * r) * cos(t)) + ((animate * r) * (len / r - t)), (((1 - animate) * r) * sin(t)) + (animate * 12), t, 0, len / r) → animatedCurve
  10. Sequence(Segment[(i, 11.5), (i, 10.75)], i, 0, 29) → list1
  11. Segment(A, C) → terminalArm
  12. Midpoint(initialArm) → E