# Trigonometry Practice Equations Of Circles

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.