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Find the centre and radius of the circle...

Find the centre and radius of the circles`x^2+y^2-8x+10 y-12=0`

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`x^(2)+y^(2)-8x+10y-12=0`
Comparing with `x^(2)+y^(2)+gx+2fy+c=0`
`2g=-8,2f=10,c=-12`
`rArr" "g=-4,f=5,c=-12`
`:.` Centre of circle `-=(-g,-f)-=(4,-5)`
and radius `r=sqrt(g^(2)+f^(2)-c)`
`=sqrt((4)^(2)+(-5)^(2)-(-12))`
`sqrt(16+25+12)=sqrt(53)` units
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