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Ellipse Slice Area Calculation

Ellipse Slice Area Calculation
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2019-04-28 12:22
FunctionCoordinate GeometryCalculusGeometric Construction
This example demonstrates how to calculate the area of a slice within an ellipse. It involves core mathematical concepts such as the geometric properties of ellipses, integral calculations, and area determination. Key GeoGebra commands and objects used include Intersect, IntegralBetween, OrthogonalLine, and Point. Suitable for high school and above students to learn about applications of calculus related to ellipses.

GeoGebra Commands & Parameters

  1. Intersect(f, h, (-2.182488233988409, -0.056220582955254006)) → A
  2. Intersect(h, g, (-4.484178433442081, -5.810446083605203)) → B
  3. IntegralBetween(f, h, W1, W2) → c
  4. OrthogonalLine(B, xAxis) → i
  5. IntegralBetween(g, h, W1, W2) → d
  6. Point(g) → C
  7. Point(g) → D
  8. Point(g) → E
  9. Point(g) → F
  10. Point(g) → G
  11. Point(g) → H
  12. Point(f) → I