Which equation corresponds to a circle with center at $(5,-2)$ and passing through the point $(8,2)$?

$(x-5{)}^2+(y+2{)}^2=25$

$(x-5{)}^2+(y+2{)}^2=5$

$(x-5{)}^2+(y+2{)}^2=13$

$(x+5{)}^2+(y-2{)}^2=25$