Exercises 21.3, page 582

1. $C (1, - 1), r = 4$
3. $C (3, 4), r = 7$
5. $(2, 1), r = 5$
7. $C (- 1, 0), r = \frac{11}{2}$
9. $x^{2} + y^{2} = 9$
11. ${(x - 2)}^{2} + {(y - 3)}^{2} = 16,$ or $x^{2} + y^{2} - 4 x - 6 y - 3 = 0$
13. ${(x - 12)}^{2} + {(y + 15)}^{2} = 324,$ or $x^{2} + y^{2} - 24 x + 30 y + 45 = 0$
15. ${(x + 3)}^{2} + {(y - 4)}^{2} = 25$
17. ${(x - 2)}^{2} + {(y - 1)}^{2} = 8$
19. ${(x + 3)}^{2} + {(y - 5)}^{2} = 25,$ or $x^{2} + y^{2} + 6 x - 10 y + 9 = 0$
21. ${(x + 2)}^{2} + {(y - 2)}^{2} = 4$ , or $x^{2} + y^{2} + 4 x - 4 y + 4 = 0$
23. $x^{2} + y^{2} = 2$
25. $(0, 3), r = 2$
27. $(- 1, 5), r = \frac{9}{2}$
29. $(1, 0), r = 3$
31. $(- 2.1 ...$

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans