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**12-5 Circles in the Coordinate Plane**

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Theorem 12-13 An equation of a circle with center (h,k) and radius r is (x - h)2 + (y - k)2 = r2 “standard form”

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - h)2 + (y - k)2 = r2

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y - k)2 = r2

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = r2

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y – (-1))2 = 32

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 32

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Example #1 Write the equation (in standard form) of the circle with center at (4,-1) and radius 3. (x - 4)2 + (y +1)2 = 9

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3).

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Example #2 Write the equation (in standard form) of the circle with center at (4,-1) and passes through the point (1, 3). (x-4)2 + (y+1)2 = 25

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Today’s Assignment P. 697 #1-21 (do not graph!)

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

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

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