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1.8 Circles

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**A circle is a set of points in the xy-plane that are a fixed**

distance r from a fixed point (h,k). The fixed distance is called the radius, and the fixed point (h,k) is called the center of the circle. y (x, y) r (h, k) x

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**The standard form of an equation of a circle with radius r and center (h,k) is**

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Graph ( ) x y + - = 1 3 16 2

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y (-1, 7) (3,3) (-5, 3) (-1,3) x (-1, -1)

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**The general form of the equation of a circle**

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**Find the center and the radius of**

First group terms:

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**Add appropriate terms to complete the squares for x and for y.**

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