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Area Differential in Polar Coordinates

Area Differential in Polar Coordinates
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2020-04-11 02:28
TrigonometryCoordinate GeometryCalculus
This example illustrates the concept of area differential in polar coordinates. Key mathematical concepts include polar coordinates, area differential, and trigonometric functions. Using GeoGebra commands such as Circle, Segment, Point, Intersect, etc., the area differential in polar coordinates can be constructed. Suitable for high school mathematics education and students learning calculus.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → f
  3. Point(c) → D
  4. Segment(A, D) → g
  5. Point(f) → C
  6. Circle(A, C) → d
  7. Intersect(d, g) → E,
  8. Midpoint(B, C) → F
  9. Midpoint(D, E) → G
  10. CircleArc(A, G, F) → e
  11. CircleSector(A, E, C) → k
  12. CircleSector(A, D, B) → h
  13. CircleSector(A, E, C) → p
  14. CircleArc(A, E, C) → q
  15. Segment(G, A) → r
  16. Segment(C, A) → i
  17. Point(c) → H
  18. Segment(A, H) → j
  19. Intersect(d, j, 1) → I
  20. Segment(I, H) → l