Honors Geometry Companion Book, Volume 2

11.2.4 Circles in the Coordinate Plane - Practice

1.  Write the equation of the circle J with center K ( − 7, 3) and radius 6.

2.  Write the equation of the circle B that passes through (4, − 6) and has center (3, − 2).

3.  Graph the equation. ( x − 3) 2 + y 2 = 9

4.  Graph the equation. ( x + 3) 2 + ( y + 1) 2 = 9

6.  A merry-go-round is to be built in a park. The center of the structure is required to be equidistant from three support columns located at Q (4, − 2), R (2, − 4), and S (0, 2). What are the coordinates for the location of the center of the merry-go-round?

5.  A circular platform is to be built in a playground. The center of the structure is required to be equidistant from three support columns located at D ( − 2, − 4), E (1, 5), and F (2, 0). What are the coordinates for the location of the center of the platform?

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