Question 192331
basic  formula  for  a  circle  is

(x-h)^2 + (y-k)^2 = r^2,  where  h is  x center,  k is y center,  r  is  radius  

to  fit  this  form  the  given  problem  must  "complete  the  square"

(x^2 +4x +4)     + (y^2 +6y+9) = 2 + (+4)+ (+9)

reviewing  take  coefficient of the  middle  term,  4x,  divide  by  2  and  then  square,  (4/2)^2 =4  and  add  to  both  sides  of  eqn

for  y  terms, ( 6/2)^2  =9  and  add  to  both  sides

Now  factor  x  and  y  sets

(x+2)^2  + (y+3)^2  =  15

comparing  to  basic  form  we  find   

x  center  is  (-2)

y center  is  (-3)

rad^2  =  15,   rad  =sq  rt  15  =  3.87