Question 758531
<pre>

(x-h)² + (y-k)² = r² has center (h,k) and radius r

compare your equation 

(x+4)² + (y-3)² = 25 

to that and you see that

-h=+4, so h=-4
-k=-3, so k=3
 r²=25, so r=5

{{{drawing(400,400,-11,3,-4,10, grid(1),

circle(-4,3,5), 
circle(-7,-1,.1),
circle(-7,-1,.15),
circle(-7,-1,.08),
circle(-7,-1,.05),

circle(-4,3,5), 
circle(-4,3,.1),
circle(-4,3,.15),
circle(-4,3,.08),
circle(-4,3,.05)





  )}}}

Draw a horizontal line from (-7,-1) to a point directly below
the center, then a vertical line from there to the center (4,3).
The horizontal line is 3 units long and the vertical line is
4 units long.  Then do the same from the center of the circle,
3 units right from (4,3), then 4 units up, and you end up at
the point (-1,7)
{{{drawing(400,400,-11,3,-4,10, grid(1),

circle(-4,3,5), 
circle(-7,-1,.1),
circle(-7,-1,.15),
circle(-7,-1,.08),
circle(-7,-1,.05),

circle(-4,3,5), 
circle(-4,3,.1),
circle(-4,3,.15),
circle(-4,3,.08),
circle(-4,3,.05),
red(line(-7,-1,-4,-1),line(-4,-1,-4,3),

line(-4,3,-1,3), line(-1,3,-1,7),

circle(-1,7,.13), 
circle(-1,7,.1),
circle(-1,7,.15),
circle(-1,7,.08),
circle(-1,7,.05))




  )}}}   {{{matrix(7,1,

DRAW,IN,THE,DIAMETER,IF,YOU,"LIKE:")}}}   {{{drawing(400,400,-11,3,-4,10, grid(1),

circle(-4,3,5), 
circle(-7,-1,.1),
circle(-7,-1,.15),
circle(-7,-1,.08),
circle(-7,-1,.05),

circle(-4,3,5), 
circle(-4,3,.1),
circle(-4,3,.15),
circle(-4,3,.08),
circle(-4,3,.05),
red(line(-7,-1,-4,-1),line(-4,-1,-4,3),line(-7,-1,-1,7),

line(-4,3,-1,3), line(-1,3,-1,7),

circle(-1,7,.13), 
circle(-1,7,.1),
circle(-1,7,.15),
circle(-1,7,.08),
circle(-1,7,.05))




  )}}}

Edwin</pre>