Circle with center at (-3, 7) and radius 8

Explanation:

Centre of the circle ( h,k)=(-3,7)

radius of the circle (r)=8

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

or,(x+3)^2+(y-7)=8^2

or,x^2+6x+9+y^2-2y+49=64

or,x^2+y^2+6x-2y+58-64=0

or,x^2+y^2+6x-2y-6=0 is the required equation of the circle