Answer
center $(1,-2)$, radius $r=4$,
see graph.
Work Step by Step
Form squares, we have
$x^2-2x+y^2+4y=11$,
$x^2-2x+1+y^2+4y+4=11+1+4$,
$(x-1)^2+(y+2)^2=16$,
thus we have the center $(1,-2)$, radius $r=4$,
see graph.
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