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Arc Length in Polar Coordinates

Arc Length in Polar Coordinates
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2017-11-06 13:12
FunctionCoordinate GeometryCalculus
This example demonstrates how to calculate arc length in polar coordinates. It involves the equations of curves in polar coordinates and the arc length formula. Using GeoGebra commands such as Textfield, Locus, and Sequence, users can dynamically explore the changes in arc length for different parameters. Suitable for high school mathematics education, particularly in coordinate geometry and calculus courses.

GeoGebra Commands & Parameters

  1. Textfield(r) → InputBox1
  2. Locus(P, θ) → loc1
  3. Sequence(Segment[(r(((2 * π / n) * (k - 1))) * (cos(((2 * π / n) * (k - 1))), sin(((2 * π / n) * (k - 1))))), (r(((2 * π / n) * k)) * (cos(((2 * π / n) * k)), sin(((2 * π / n) * k))))], k, 1, n) → segs