Circle Equations. Definitions Circle: The set of all points that are the same distance from the center Radius: a segment whose endpoints are the center.

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Presentation transcript:

Circle Equations

Definitions Circle: The set of all points that are the same distance from the center Radius: a segment whose endpoints are the center and a point on the circle

Equation of a Circle

Writing the Equation of a Circle 1.Group x terms together, y-terms together, and move constants to the other side 2.Complete the square for the x-terms – Remember that whatever you do to one side, you must also do to the other 3.Complete the square for the y-terms – Remember that whatever you do to one side, you must also do to the other

THINK ABOUT IT Find the center, the length of the radius, and write the equation of the circle if the endpoints of a diameter are (-8,2) and (2,0). Center: Use midpoint formula! Length: use distance formula with radius and an endpoint Equation: Put it all together