What is the equation of the circle with a center at $(5 ,-3 )$ and a radius of $2$ ?

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What is the equation of the circle with a center at $(5 ,-3 )$ and a radius of $2$ ?

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Answer 1 · 2016-01-20T00:23:18

I found: $x^2+y^2-10x+6y+30=0$

Explanation:

We can use the general equation:
$color(red)((x-h)^2+(y-k)^2=r^2)$
Where $h,k$ are the coordinates of the center and $r$ is the radius. So you get:
$(x-5)^2+(y+3)^2=2^2$
$x^2-10x+25+y^2+6y+9=4$
$x^2+y^2-10x+6y+30=0$

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What is the equation of the circle with a center at $(5 ,-3 )$ and a radius of $2$ ?

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