1. Conic Sections - Circles
Chapter 8

2. What are conic sections?
Conic Sections – cross section of a cone, or the intersection of a plane with a right circular cone.
When this happens, four sections are found:
Circle
Ellipse
Hyperbola
parabola

3. Circles
Definition:
the set of all points in the plane that are equidistant from a given point in the plane called the center
the distance from the center to any point on the circle is called the radius

4. Equations of Circles Standard Form: General Form: (h,k) is the center
r is the radius
General Form:

5. Examples – write in standard form

6. Classwork/Exit Slip Find the center and radius:
Points P(2,5) and Q(-4,-3) are the endpoints of a diameter of a circle. Find the center, radius, and equation of the circle.

7. Homework
Write the equation in standard form: