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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Graphing and Properties of Circles
Identify the center and radius of each.
1)
x
2
+
y
2
= 49 2)
x
2
+
y
2
= 324
3)
(
x
+ 2
)
2
+
(
y
− 3
)
2
= 183 4)
(
x
+ 7
)
2
+
(
y
+ 8
)
2
= 64
5)
(
x
+ 10
)
2
+
(
y
+ 9
)
2
= 36 6)
(
x
+ 5
)
2
+
(
y
− 10
)
2
= 9
7)
x
2
+
(
y
+ 2
)
2
= 121 8)
(
x
− 14
)
2
+
(
y
− 2
)
2
= 4
9)
364 + 28
y
+
y
2
+
x
2
= −26
x
10)
x
2
+
y
2
+ 24
x
+ 10
y
+ 160 = 0
11) −6
x
=
−
x
2
+ 32
y
− 264 −
y
2
12)
−6
x
+
x
2
=
97 + 10
y
−
y
2
Identify the center and radius of each. Then sketch the graph.
13)
(
x
+ 1
)
2
+
(
y
− 2
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
14)
(
x
+ 2
)
2
+
(
y
+ 3
)
2
= 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
-1-
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Worksheet by Kuta Software LLC
15)
(
x
+ 1
)
2
+
(
y
+ 2
)
2
= 25
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
16)
(
x
+ 3
)
2
+
(
y
− 3
)
2
= 8
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
17)
(
x
+ 3
)
2
+
(
y
+ 2
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
18)
(
x
+
5
2
)
2
+
(
y
−
14
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Graphing and Properties of Circles
Identify the center and radius of each.
1)
x
2
+
y
2
= 49
Center:
(
0, 0
)
Radius: 7
2)
x
2
+
y
2
= 324
Center:
(
0, 0
)
Radius: 18
3)
(
x
+ 2
)
2
+
(
y
− 3
)
2
= 183
Center:
(
−2, 3
)
Radius: 183
4)
(
x
+ 7
)
2
+
(
y
+ 8
)
2
= 64
Center:
(
−7, −8
)
Radius: 8
5)
(
x
+ 10
)
2
+
(
y
+ 9
)
2
= 36
Center:
(
−10, −9
)
Radius: 6
6)
(
x
+ 5
)
2
+
(
y
− 10
)
2
= 9
Center:
(
−5, 10
)
Radius: 3
7)
x
2
+
(
y
+ 2
)
2
= 121
Center:
(
0, −2
)
Radius: 11
8)
(
x
− 14
)
2
+
(
y
− 2
)
2
= 4
Center:
(
14, 2
)
Radius: 2
9)
364 + 28
y
+
y
2
+
x
2
= −26
x
Center:
(
−13, −14
)
Radius: 1
10)
x
2
+
y
2
+ 24
x
+ 10
y
+ 160 = 0
Center:
(
−12, −5
)
Radius: 3
11) −6
x
=
−
x
2
+ 32
y
− 264 −
y
2
Center:
(
3, 16
)
Radius: 1
12)
−6
x
+
x
2
=
97 + 10
y
−
y
2
Center:
(
3, 5
)
Radius: 131
Identify the center and radius of each. Then sketch the graph.
13)
(
x
+ 1
)
2
+
(
y
− 2
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−1, 2
)
Radius: 3
14)
(
x
+ 2
)
2
+
(
y
+ 3
)
2
= 4
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−2, −3
)
Radius: 2
-1-
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.
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Worksheet by Kuta Software LLC
15)
(
x
+ 1
)
2
+
(
y
+ 2
)
2
= 25
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−1, −2
)
Radius: 5
16)
(
x
+ 3
)
2
+
(
y
− 3
)
2
= 8
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−3, 3
)
Radius:
2 2
17)
(
x
+ 3
)
2
+
(
y
+ 2
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−3, −2
)
Radius: 3
18)
(
x
+
5
2
)
2
+
(
y
−
14
)
2
= 9
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Center:
(
−
5
2
, 14
)
Radius: 3
-2-
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