Name: _________________________________________________ Period: ___________ Date: ____________________
Circles in the Coordinate Plane Guided Notes
Objectives:
1. Write equations and graph circles in the coordinate plane.
2. Use the equation and graph of a circle to solve problems.
Example 1: Writing the Equation of a Circle
Directions: Write the equation of each circle.
A. O J with center J(2, 2) and radius 4
B. O K that passes through J(6, 4)
and has center K(1, -8)
C. O P with center P(0, -3) and radius 8
D. O Q that passes through (2, 3) and
has center Q(2, -1)
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Example 2: Graphing a Circle
Directions: Make a table of values then plot the points and connect them to form a circle.
A. x2 + y2 = 16
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Name: _________________________________________________ Period: ___________ Date: ____________________
Circles in the Coordinate Plane Guided Notes
B. (x – 3)2 + (y + 4)2 = 9
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2
C. x2 + y2 = 9
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Name: _________________________________________________ Period: ___________ Date: ____________________
Circles in the Coordinate Plane Guided Notes
D. (x – 3)2 + (y + 2)2 = 4
Lesson Quiz
1. O L with center L(-5, -6) and radius 9
3. x2 + y2 = 4
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3
Graph:
2. O D that passes through (-2, -1)
and has center D(2, -4)
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Name: _________________________________________________ Period: ___________ Date: ____________________
Circles in the Coordinate Plane Guided Notes
Page
4
4. (x – 2)2 + (y + 4)2 = 16
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