Transcript 11.7 Circles in the Coordinate Plane

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
12) and a diameter=2
(-11,

Write the equation of a circle with a center (0, -27)
and a radius = 5 3
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
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Graph (x – 3)2 + (y + 4)2 = 9
Examples:

Graph x2 + y2 = 9

Graph (x – 3)2 + (y + 2)2 = 4