Question 132352
The equation for a circle with a center at (h, k) and radius r is {{{(x-h)^2+(y-k)^2=r^2}}}.


You only gave the coordinates of the circle center, so I'll just use r for the radius.  If you have a specific value for r, just plug it in.


{{{(x-(-1))^2+(y-(-5))^2=r^2}}}


{{{(x+1)^2+(y+5)^2=r^2}}}


That is AN equation for the circle you described.  You don't specify the form of the equation required for your answer, but if you are required to put it into standard form, then you need to expand the binomials and collect like terms after substituting the actual value for r.