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Equation of a Circle by Gabriel Cheow

Equation of a Circle by Gabriel Cheow
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2020-05-04 17:04
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to find the equation of a circle given its center and radius. Key mathematical concepts include the equation of a circle and coordinate geometry. It utilizes commands such as Circle, Tangent, and Line in GeoGebra. Suitable for students in middle school and above to learn about the basic properties and equation solving of circles.

GeoGebra Commands & Parameters

  1. Random(4, 20) → number
  2. Sequence(RandomElement[{-1, 1}], n, 1, 4) → pm
  3. If(IsPrime[number], number + 1, number) → num
  4. DivisorsList(num) → l1
  5. Factors(num) →
  6. RandomElement(l1) → b_{1}
  7. mean(b_{1}, b_{2}) → bm
  8. RandomElement(Remove[l1, {b_{1}, b_{2}}]) → c_{1}
  9. mean(c_{1}, c_{2}) → cm
  10. Sequence(Random[-10, 10] / 2, n, 1, 4) → vars
  11. Circle(C, A) → c
  12. Tangent(A, c) → f,
  13. Line(C, D) → g
  14. RandomElement({1, 2, 3}) → type

AI Drawing Prompt Reference

Draw a circle with center C and radius 5. Draw a tangent line f through point C. Draw a perpendicular line g through point C. Randomly choose the form of the circle's equation.
The prompt above was compiled from the original drawing commands and is for reference only.