Answer
Center: $(-1,2)$
Radius: $\sqrt{5}$
Work Step by Step
$(x+1)^{2}+(y-2)^{2}=5$
The equation is given in the standard form, which is
$(x-h)^{2}+(y-k)^{2}=r^{2}$, where $(h,k)$ is the center and $r$ is the radius
So from the given equation, the center is $(-1,2)$ and the radius is $\sqrt{5}$
