1. Conic Sections Circles
Can I derive the equation of a circle?
Can I graph the equation of a circle?

2. What are Conic Sections?

3. Circles as Conic Sections
All conics have a locus, or a set of points that
satisfy a certain condition.
For a circle, the locus is all points equidistant
from the center of the circle.

4. Graphing Circles Find the center. Find the radius.
Graph the center.
Find the radius.
Graph the radius at 4 locations.
Connect the 4 points of the radius so that you get a circle.

5. Graphing Circles
Center:
Radius:

6. Graphing Circles
Center:
Radius:

7. Equations in Standard Form

8. Equations in Standard Form

9. Deriving Circle Equations

10. Deriving Circle Equations

11. Deriving Circle Equations

12. Deriving Circle Equations

13. Deriving Circle Equations