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Surface Area of a Sphere by alex.smith

Surface Area of a Sphere by alex.smith
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2017-04-23 10:39
FunctionTrigonometrySolid Geometry
In collections Surface Area
This example demonstrates how to calculate the surface area of a sphere. It involves basic geometric concepts of a sphere and trigonometric functions. Using GeoGebra commands such as Intersect and Point, the example constructs the cross-sections of a sphere and calculates its surface area. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → A
  2. Point(zAxis) → B
  3. Sphere(A, B) → a
  4. Point(zAxis) → C
  5. Point(zAxis) → D
  6. Sphere(C, D) → b
  7. Point(xAxis) → E
  8. Point(xAxis) → F
  9. Sphere(E, F) → c
  10. Point(xAxis) → G
  11. Point(xAxis) → H
  12. Sphere(G, H) → d
  13. Point(yAxis) → I
  14. Point(yAxis) → J
  15. Sphere(I, J) → e
  16. Point(yAxis) → K
  17. Point(yAxis) → L
  18. Sphere(K, L) → f

AI Drawing Prompt Reference

Draw a sphere with three smaller spheres of different sizes centered at points on the x, y, and z axes, demonstrating the geometric concepts and trigonometric functions used to calculate the surface area of a sphere, highlighting the cross-sections and the relationship between the spheres and the coordinate planes.
The prompt above was compiled from the original drawing commands and is for reference only.