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Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry.
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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
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example Write the equation of a circle.
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example Write the equation of a circle.
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Graph the circle: Center = Radius = example
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Graph the circle: Center = Radius = example
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The equation of a circle is example Which of the following points are in the circle? B A C
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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?
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