Answer
$(x+2)^2+(y+6)^2=25$
Work Step by Step
Center: $(h,k)=(-2,-6)$
The distance from the center to the solution point is the radius:
$r=\sqrt {(-2-1)^2+[-6-(-10)]^2}=\sqrt {9+16}=\sqrt {25}=5$
Equation of a circle:
$(x−h)^2+(y−k)^2=r^2$ (standard form)
$[(x-(-2)]^2+[y-(-6)]^2=5^2$
$(x+2)^2+(y+6)^2=25$
