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Worksheet by Kuta Software LLC
Geometry
Converting from standard form to general form
Name___________________________________
Date________________ Period____
©^ D2]0z1X7B eKHuItva] `SEoYfOtUwNa[reeN xLmLJCf.q F LAIlIlI Or_iogZhatysQ JrKeCs\eVrPv]e_dx.
Use the information provided to write the general conic form equation of each circle.
1)
(
x - 11
)
2
+
(
y - 14
)
2
= 8 2)
(
x - 2
)
2
+
(
y - 13
)
2
= 25
3)
(
x - 3
)
2
+
(
y + 12
)
2
= 1 4)
(
x + 11
)
2
+
(
y + 9
)
2
= 25
5)
(
x + 9
)
2
+
(
y + 13
)
2
= 17 6)
(
x + 5
)
2
+
(
y + 15
)
2
= 4
7)
(
x - 11
)
2
+
(
y - 7
)
2
= 42 8)
(
x + 2
)
2
+
(
y + 7
)
2
= 69
9) x
2
+
(
y - 7
)
2
= 65 10)
(
x + 2
)
2
+
(
y + 14
)
2
= 25
11)
(
x + 4
)
2
+
(
y + 1
)
2
= 4 12)
(
x + 14
)
2
+
(
y + 10
)
2
= 25
13)
(
x + 2
)
2
+
(
y - 9
)
2
= 77 14)
(
x + 14
)
2
+
(
y - 16
)
2
= 1
15)
(
x - 12
)
2
+
(
y + 11
)
2
= 36 16)
(
x - 6
)
2
+
(
y - 3
)
2
= 49
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Worksheet by Kuta Software LLC
Geometry
Converting from standard form to general form
Name___________________________________
Date________________ Period____
©a ^2e0X1F7L EKEuetOaF RSwo]fitcwhajrNeK zLSLBCG.w o \AAlxlt Qr_ihgqhKtgsS nr_eMsAeZrwvHePdF.
Use the information provided to write the general conic form equation of each circle.
1)
(
x - 11
)
2
+
(
y - 14
)
2
= 8
x
2
+ y
2
- 22x - 28 y + 309 = 0
2)
(
x - 2
)
2
+
(
y - 13
)
2
= 25
x
2
+ y
2
- 4x - 26 y + 148 = 0
3)
(
x - 3
)
2
+
(
y + 12
)
2
= 1
x
2
+ y
2
- 6x + 24 y + 152 = 0
4)
(
x + 11
)
2
+
(
y + 9
)
2
= 25
x
2
+ y
2
+ 22x + 18 y + 177 = 0
5)
(
x + 9
)
2
+
(
y + 13
)
2
= 17
x
2
+ y
2
+ 18x + 26 y + 233 = 0
6)
(
x + 5
)
2
+
(
y + 15
)
2
= 4
x
2
+ y
2
+ 10x + 30 y + 246 = 0
7)
(
x - 11
)
2
+
(
y - 7
)
2
= 42
x
2
+ y
2
- 22x - 14 y + 128 = 0
8)
(
x + 2
)
2
+
(
y + 7
)
2
= 69
x
2
+ y
2
+ 4x + 14 y - 16 = 0
9) x
2
+
(
y - 7
)
2
= 65
x
2
+ y
2
- 14 y - 16 = 0
10)
(
x + 2
)
2
+
(
y + 14
)
2
= 25
x
2
+ y
2
+ 4x + 28 y + 175 = 0
11)
(
x + 4
)
2
+
(
y + 1
)
2
= 4
x
2
+ y
2
+ 8x + 2 y + 13 = 0
12)
(
x + 14
)
2
+
(
y + 10
)
2
= 25
x
2
+ y
2
+ 28x + 20 y + 271 = 0
13)
(
x + 2
)
2
+
(
y - 9
)
2
= 77
x
2
+ y
2
+ 4x - 18 y + 8 = 0
14)
(
x + 14
)
2
+
(
y - 16
)
2
= 1
x
2
+ y
2
+ 28x - 32 y + 451 = 0
15)
(
x - 12
)
2
+
(
y + 11
)
2
= 36
x
2
+ y
2
- 24x + 22 y + 229 = 0
16)
(
x - 6
)
2
+
(
y - 3
)
2
= 49
x
2
+ y
2
- 12x - 6 y - 4 = 0