Centro origen x²+y²=2²
Fuera del origen (x-h)²+(y-k)²=r²
C(h,k)
1-Encontrar la ecuación de la circunferencia con C (5,2) y radio= 6.
En su forma ordinaria y general.
(x-h)²+(y-k)²=r²
(x-5)²+(y-2)²=6²
(x-5)²+(y-2)²=36 ordinaria
X²-10x+25+y²-4y+4=36
x²+y²-10x-4y+29-36=0
x²+y²-10x-4y-7=0 general
2-C(-3-6) r=5
(x-h)²+(y-k)²=r²
(x+3)²+(y+6)²=5²
(x+3)²+(y+6)²=25 ordinaria
X²+6x+9+y²+12y+36=25
x²+y²+6x+12y+45-25=0
x²+y²+6x+12y+20=0 general
3-C (3,-2) r=4
(x-h)²+(y-k)²=r²
(x-3)²+(y+2)²=4²
(x-3)²+(y+2)²=16 ordinaria
X²-6x+9+y²+4y+4=16
x²+y²-6x+4y+13-16=0
x²+y²-6x+4y-3=0 general
4)C (5,5) r=2
(x-h)²+(y-k)²=r²
(x-5)²+(y-5)²=2²
(x-5)²+(y-5)²=4 ordinaria
X²-10x+25+y²-10y+25=4
x²+y²-10x-10y+50-4=0
x²+y²-10x-10y+46=0 general
5)C (-2,-7) r=10
(x-h)²+(y-k)²=r²
(x+2)²+(y+7)²=10²
(x+2)²+(y+7)²=100 ordinaria
X²+4x+4+y²+14y+49=100
x²+y²+4x+14y+53-100=0
x²+y²+4x+14y-47=0 general
6)C (-5,-8) r=2
(x-h)²+(y-k)²=r²
(x+5)²+(y+8)²=2²
(x+5)²+(y+8)²=4 ordinaria
X²+10x+25+y²+16y+64=4
x²+y²+10x+16y+89-4=0
x²+y²+10x+16y+85=0 general
7)C (-2,6) r=3
(x-h)²+(y-k)²=r²
(x+2)²+(y-6)²=3²
(x+2)²+(y-6)²=9 ordinaria
X²+4x+4+y²-12y+36=9
x²+y²+4x-12y+40-9=0
x²+y²+4x-12y+31=0 general
8)C (2,0) r=4
(x-h)²+(y-k)²=r²
(x-2)²+(y-0)²=4²
(x2)²+(y-0)²=16 ordinaria
X²-4x+4+y²-y+0=16
x²+y²-4x-y+4-16=0
x²+y²-4x-y-12=0 general
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