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Equation of a Circle by Walch Education

Equation of a Circle by Walch Education
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2015-02-21 00:13
CircleFunctionCoordinate Geometry
In collections PARCC Math III Unit 5 Lesson 6
This example demonstrates how to write the standard and general equations of a circle given its center and a point it passes through. Key mathematical concepts include the equation of a circle and coordinate geometry. It uses GeoGebra commands such as Segment, Circle, and Polygon for construction. Suitable for high school math education.

GeoGebra Commands & Parameters

  1. Segment(A, B) → r
  2. Circle(A, B) → circle_A
  3. Polygon(poly_C, poly_D, poly_E, poly_F) → poly1, c, d, e, f
  4. Factors(radicand) → test
  5. Element(test, 1) → test1
  6. Element(test, 2) → test2
  7. Polygon((Edge, y(Corner[1])), Corner[2], Corner[3], (Edge, y(Corner[4]))) → Mask, b, g, h, i
  8. Segment(A_1, B_1) → r_1
  9. Circle(A_1, B_1) → circle_1
  10. Segment(A_3, B_2) → r_2
  11. Circle(A_3, B_2) → circle_2
  12. Segment(A_4, B_3) → r_3
  13. Circle(A_4, B_3) → circle_3
  14. Segment(B_s, A_s) → r_s
  15. Circle(A_s, B_s) → circle_s

AI Drawing Prompt Reference

Draw a circle with center A and passing through point B. First, draw a segment AB, then draw a circle with A as the center and B as a point on the circle. Next, draw a quadrilateral connecting four key points on the circle. Finally, draw three segments with A, B, and C as centers and passing through D, E, and F respectively.
The prompt above was compiled from the original drawing commands and is for reference only.