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12.5 Circles in the Coordinate Plane

12.5 Circles in the Coordinate Plane. Th. 12-16: An equation of a circle with center ( h, k ) and radius r is ( x – h ) 2 + ( y – k ) 2 = r 2. Standard equation of a circle. Ex 1 : Write the standard equation of the circle with center ( -2 , 1 ) and radius 12 .

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12.5 Circles in the Coordinate Plane

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  1. 12.5 Circles in the Coordinate Plane

  2. Th. 12-16: An equation of a circle with center (h, k) and radius r is (x – h)2 + (y – k)2 = r2. Standard equation of a circle

  3. Ex 1: Write the standard equation of the circle with center (-2, 1) and radius 12. (x – h)2 + (y – k)2 = r2 (x – -2)2 + (y – 1)2 = 122 (x + 2)2 + (y – 1)2 = 144

  4. Ex 2: Write the standard equation of a circle that passes through (-1, 1) with a center (2, 3). r

  5. Ex 3: Graph. (x + 2)2 + (y – 4)2 = 36 center: (-2, 4) radius: 6

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