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Algebra 2 & Trigonometry Practice: Equations of Circles #5

Page 1

NAME:_____________________________

P.I. A2.A.47: Determine the center-radius form for the equation of a circle in standard form

+

−

+

+

=

2

2

1. Find the center and radius of x

y

8

x

2

y

8

0

.

[A] center (4, –1); r = 3

[B] center (–4, 1); r = 3

[C] center (4, –1); r = 9

[D] center (–4, 1); r = 9

+

−

−

+

=

2

2

2. Find the center and radius of x

y

12

x

8

y

27

0

.

[A] center (–6, –4); r = 25

[B] center (6, 4); r = 25

[C] center (–6, –4); r = 5

[D] center (6, 4); r = 5

+

+

−

+

=

2

2

3. Find the center and radius of x

y

8

x

10

y

37

0

.

+

+

−

−

=

2

2

4. Find the center and radius of x

y

6

x

2

y

15

0

.

+

−

+

+ = .

2

2

5. Describe the translation that would produce the equation x

y

2

x

6

y

3 0

6. Compare the quantity in Column A with the quantity in Column B.

−

+

+

− =

2

2

x

4

x y

10

y

7 0

Column A

Column B

x

- coordinate of the center

y

- coordinate of the center

[A] The quantity in Column A is greater.

[B] The quantity in Column B is greater.

[C] The two quantities are equal.

[D] The relationship cannot be determined on the basis of the information supplied.

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