Circunferencia.

y-y = m (x-x)
m= pendiente

x2 *y2 = r2 radio (centro de origen)
(x-h)2 +( y-k)2 =r2 (fuera de origen)

radio
c(h,k)



1. encontrar la ecuacion de la circunferencia con c (5,2) y radio =6 en su forma ordinaria y general.

Num. 1


forma ordinaria
(x-h)2+(y-k)2=r2
(x-5)2+(y-2)=62
(x-5)2+(y-2)2=36

forma general
X2-10x+25+y2-4y+4=36
x2+y2-10x-4y+29-36=0
x2+y2-10x-4y-7=0


Num. 2
c(-3,-6)=r=5



forma ordinaria
(x-h)2+(y-k)2=r2
(x+3)2+(y+6)2=52
(x+3)2+(y+6)2=25

forma general
X2+6x+9+y²+12y+36=25
x2+y22+6x+12y+45-25=0
x2+y2+6x+12y+20=0


Num. 3

C (3,-2) r=4




forma ordinaria.
(x-h)2+(y-k)2=r2
(x-3)2+(y+2)2=42
(x-3)2+(y+2)2=16

forma general.
X2-6x+9+y2+4y+4=16
x2+y2-6x+4y+13-16=0
x2+y2-6x+4y-3=0


Num. 4
c(5,5) r=2





forma ordinaria
(x-h)2+(y-k)2=r2
(x-5)2+(y-5)2=22
(x-5)2+(y-5)2=4

forma general
X2-10x+25+y2-10y+25=4
x2+y2-10x-10y+50-4=0
x2+y2-10x-10y+46=0



Num. 5
c(-2,-7) r=10



forma ordinaria
(x-h)2+(y-k)2=r2
(x+2)2+(y+7)2=102
(x+2)2+(y+7)2=100

forma general
X2+4x+4+y2+14y+49=100
x2+y2+4x+14y+53-100=0
x2+y2+4x+14y-47=0


Num. 6
c(-5,-8) r=2



forma ordinaria
(x-h)2+(y-k)2=r2
(x+5)2+(y+8)2=22
(x+5)2+(y+8)2=4

forma general
X2+10x+25+y2+16y+64=4
x2+y2+10x+16y+89-4=0
x2+y2+10x+16y+85=0


Num. 7
c(-2,6) r=3




forma ordinaria
(x-h)2+(y-k)2=r2
(x+2)2+(y-6)2=32
(x+2)2+(y-6)2=9

forma general
X2+4x+4+y2-12y+36=9
x2+y+4x-12y+40-9=0
x2+y2+4x-12y+31=0


Num. 8
c(2,0) r=4





forma ordinaria
(x-h)2+(y-k)2=r2
(x-2)2+(y-0)2=42
(x2)2+(y-0)2=16

forma general
X2-4x+4+y2-y+0=16
x2+y2-4x-y+4-16=0
x2+y2-4x-y-12=0