11.7 Circles in the Coordinate Plane

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Presentation transcript:

11.7 Circles in the Coordinate Plane Geometry

Theorem

Examples: (x+3)2 + y2 = 12 Center= Radius=

Examples: Write the equation of J with center J (2, 2) and radius 4 Write the equation of P with center P(0, –3) and radius 8

Example: Write the equation of a circle with a center (-11, 12) and a diameter=2 Write the equation of a circle with a center (0, -27) and a radius =

Examples: Write the equation of K that passes through J(6, 4) and has center K(1, –8) Write the equation of Q that passes through (2, 3) and has center Q(2, –1)

Examples: Graph x2 + y2 = 16 Graph (x – 3)2 + (y + 4)2 = 9

Examples: Graph x2 + y2 = 9 Graph (x – 3)2 + (y + 2)2 = 4