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Published byKaylee Warren Modified over 2 years ago

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12-5 Circles in the Coordinate Plane

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Theorem An equation of a circle with center (h,k) and radius r is (x - h) 2 + (y - k) 2 = r 2 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 = r 2

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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 = r 2

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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 = r 2

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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 = 3 2

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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 = 3 2

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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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Todays Assignment P. 697 #1-21 (do not graph!)

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