Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry.

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Presentation transcript:

Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry.

definition Equation of a Circle On the coordinate plane a circle is defined by (x – h) 2 + (y – k) 2 = r 2 (h, k) is the coordinates of the center r is the radius of the circle (h, k) (x, y) r

example Write the equation of a circle.

example Write the equation of a circle.

Graph the circle: Center = Radius = example

Graph the circle: Center = Radius = example

The equation of a circle is example Which of the following points are in the circle? B A C

B The equation of a circle is example on not in out not in this is is! A C Which of the following points are in the circle?