Answer
$(x+5)^{2}+(y+2)^{2}=49$
$x^{2}+y^{2}+10x+4y-20=0$
Work Step by Step
The standard form of an equation of a circle with radius $r$ and center $(h,k)$ is
$(x-h)^{2}+(y-k)^{2}=r^{2}$
When its graph is a circle, the equation
$x^{2}+y^{2}+ax+by+c=0$
is the general form of the equation of a circle.
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Standard form:
$(x-(-5))^{2}+(y-(-2))^{2}=7^{2}$
$(x+5)^{2}+(y+2)^{2}=49$
General form:
$x^{2}+10x+25+y^{2}+4y+4=49$
$x^{2}+y^{2}+10x+4y-20=0$
