11.2.4 Circles in the Coordinate Plane - Worksheet
Example 1: Write the equation of each circle. 1. A with center A (3, − 5) and radius 12
2. B with center B ( − 4, 0) and radius 7
3. M that passes through (2, 0) and that has center M (4, 0)
4. N that passes through (2, − 2) and that has center N ( − 1, 2)
Example 2: Graph each equation. 5. ( x − 3) 2 + ( y − 3) 2 = 4
6. ( x − 1) 2 + ( y + 2) 2 = 9
7. ( x + 3) 2 + ( y + 4) 2 = 1
8. ( x − 3) 2 + ( y + 4) 2 = 16
Example 3: 9. A radio antenna tower is kept perpendicular to the ground by three wires of equal length. The wires touch the ground at three points on a circle whose center is at the base of the tower. The wires
touch the ground at A (2, 6), B ( − 2, − 2), and C ( − 5, 7). a. What are the coordinates of the base of the tower?
b. Each unit of the coordinate plane represents 1 ft. What is the diameter of the circle?
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