Answer:
C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-2, - 8)
Radius [tex] r=\sqrt {10}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]
[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]