1. The document contains examples of equations of circles, including their centers and radii.
2. Various circle equations are given in standard form and general form, along with their corresponding centers and radii.
3. Both single and double root examples are provided for circle equations.
2. Cincratenencia 2.1.
Garacion, anónica
~Defini Fo D
C: +
y
=
2
Mill
0: CENTRO.
FIEMPLO!
C P
Op: RADIO
- ·
(0,0)
-
X
x+
y
=
5
↳ A
&
⑧
13
AB:DIEMETRO: IR R=
5
8
CD:CrERDd
P
E
EMR:
E -
23 I ON: A POTEM.
x+y- 64 =
0
- - MF:FLECH O
SaGid 1 =
8
21
2.2. Ecracón
Onpinania
2.Ecraciones d
A
c(hik) (x -
h)+
(y -
x)
=
R2
k
E
jencidos:
-en
hik I n
-(x +
2)
+
(y -
5)=
49
E
-
n
-
(1-
2,3),R =
1
W
3. EJEMPL: 2.3.
EcracionGENERAL
x+
y2-
4x -
sy
-
12 =
0 R=
A
l
+
B-
4
xty+
Ax +
By +
c=
0
2
x- 4x +
4 R=
(
-
4)+1-
6p
-
4)-
72) =
96 +
36 +
48
-+
y
2
-
6y
+
9 =
12 +
4 +
q
d
L 2 2 3 (3)2 2
2 2
x -
4x +
4 +
y 26y + 9 =
25 =
400
=
10 =
5
12 VI
12 19
2
i X 2
(*- 2 +
(y -
3) =
25 x+
y2-
4x -
sy
-
12 =
0
((2,3); R =
5 A =
-
4;B =
-
6, =
-
72
EJEMPW!
*
ty-
8x +
y
-
40 =
0 x+
y+
4x +
by =
0
A
=
4:B =
6:C=
0
8
-
8x +
16
↓
+y
+
y I
R =
4
+
6-
4(0)
X +4 = 40 +
16+4
Y-
4s+ (y +2 =
60
12 =
5
((4;-2), R =
60 =
4.15 =
4.15=
2VE5
R =
2415
4. A
CENTNO
MY
(x +
5,4
(y +
3)
=
4
2
⑧ ⑧
5km A
3km
-* +
10x +
25+y+
xy +
9=
16
⑧ = >
5
x+y2 +10x +
6y
+
34-
96 =
0
L ④ >
↑
4/CM.
+y+10x +
6y +
16 =
0
o -
3
=4 (95,3)
Binomic as CrabreDO.
P
(a5b)*=
aE2ab +b
5. Ya
CIRCUNFERENCIL AGENTE
A "Y"
> CENTRO
Ec. Ordinaria ·Rapi
(4,2)
2.
El (X -h)
+
y-1) =
R2
40 -
4 X (x -
412 +
(y -
2=
42;(ab)=
azab+
b2
nu
-8x +
16ty2-
4+
y=
16
(X-
3) =
48 -
6x +
9
8 8 A
Met *+
y
- 8x -
ny
+
4 =
0
-
3X
DOBLE
6. T. NOTIBLE.
-
2
yd -
370
37 20
5K
MK X=
16
-
.!! 6,8)
1530
3K
116
153° 4
-Centro (6,6)
/
358 Anza= 4
R2 FORMELE EC:
No
Rabio=
6
/
ARE =
51612
* 58 -
Inea =
361 u (x-
h) +
(y -
x=
R2
10,0) 6 X
(x -
61 +
(y -
8)=
36
ya
(92,9)
- (x-
12)
+
y
-
q =
q2
2
q
~
IR
=
9
x -
24x +
144 +
y2-
10+
81=87
E I 370 I *
xxy2-24x-18y+
944 =0
I I
12
7. d z
Centro: (3;3)
I Ecuación
~ RaDi= 3
3
2 ((3,3) Ecuación Ordinaria
.
Ti (x-
h) +
(y
- x)2 =
2
3
*
x
(x -
3) +
y
-
3) =
32:(a-
b) =
a-
2ab +
b
x-
6x +
9ty2-
y
9=
9
Ecraow GENERd18 X2
ty2 -6x-
y
+
9 =
0
yd Cerrino:16,8(
&
DEDN =
4
84
=
R
(X-
612 +
(y -
f)=
42
84 x
2
-
12x +
36 +
y
2
-
16y
+
64 =
16
1530 I
I I x xy-12x-1sy +
84=0
6