Circles

wsteel, Nov 16, 2017

Investigating circle properties


  • 1. Equation & Graph of a Circle
  • 2. Equation of Circles (General)
  • 3. Equation of Circles (Standard)
  • 4. GeoGebra 4.4 Example: exact intersection of line and circle
  • 5. Intersection of a line and circle.
  • 6. Intersection of a Circle and a Line
  • 7. Equations of Circles
  • 8. Equation of a circle - Test file
  • 9. The equation of a tangent to a circle
  • 10. Circle intersect with Straight Line
  • 11. Week 6 - Intersections between a circle and a line
  • 12. intersect of line and circle
  • 13. Spherical Lines: Great Circles
  • 14. point of intersection between a line and a circle
  • 15. Cicle and line

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Equation & Graph of a Circle

The following applet was designed to help you see the relationship between the equation of a circle and its graph. [br]Adjust the sliders "h", "k", and "r" (one at at time), and observe what happens to the graph and equation after altering each one. [br]Answer the questions below.
Questions:[br][br]1) What does the parameter "[color=#0a971e]h[/color]" in the equation of a circle tell you about the [i]graph of the circle itself[/i]? [br]2) What does the parameter "[color=#1551b5]k[/color]" in the equation of a circle tell you about the [i]graph of the circle itself[/i]? [br]3) What does the parameter "[color=#c51414]r[/color]" in the equation of a circle tell you about the [i]graph of the circle itself[/i]? [br]4) How is the value of "[color=#c51414]r[/color]" made evident in the equation?
– Tim Brzezinski

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