Answer:
(x + 2)^2 + (y + 8)^2 = 10
Step-by-step explanation:
The general form of the equation of a circle with center at (a, b) and radius r is (x - a)^2 + (y - b)^2 = r^2
Given center (-2, -8) and radius √10, substitute a = -2, b = -8, r = √10 into the equation
Square the radius to get r^2 = 10
Substitute the values into the equation: (x + 2)^2 + (y + 8)^2 = 10