Question 389980
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Hi,
    Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}}
where Pt(h,k) is the center and r is the radius 
 (x-4)^2 + (y+2)^2 = r^2
finding r as  distance between points (-2,10) and (4, -2). 
 r^2 =  6^2  + (-12)^2 = 180    r = 13.4
    (x-4)^2 + (y+2)^2 = 180 
{{{drawing(300,300, -20, 20, -20, 20,  grid(1),
circle(4, -2,13.4),
circle(4, -2,.8),

circle(-2, 10,0.8),
graph( 300, 300,  -20, 20, -20, 20  ))}}}