Conic Sections Conic sections come from the double cones above and a plane that intersects one or both cones, the cross-section provided is then one of.

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Presentation transcript:

Conic Sections Conic sections come from the double cones above and a plane that intersects one or both cones, the cross-section provided is then one of 4 conic sections: parabola, circle, ellipse, or hyperbola.

6.2 Equations of Circles

Coordinate Geometry definition of a circle o The set of infinite points P(x,y) that are a given distances r away from some center C. The most general equation for a circle is that of the circle with its center at the origin.

When the circle moves away from the origin

Find the center and radius of a circle whose equation is given.

In order to solve this we must group together all your x terms and then all your y terms and then complete the square for both of them, then that will help us locate the center of our circle.

Write the equation of the circle described Has a center at (3,-4) and also passes through (6,8). Here you know the center, but you do not know r. How can you find r?

HWK pg , 13,14