Conic Sections - Circles

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Presentation transcript:

Conic Sections - Circles Chapter 8

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

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

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

Examples – write in standard form

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.

Homework Write the equation in standard form: