Answer:
(x + 2)² + (y + 8)² = 16
Explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 2, - 8 ) and r = diameter ÷ 2 = 8 ÷ 2 = 4 , then
(x - (- 2) )² + (y - (- 8) )² = 4² , that is
(x + 2)² + (y + 8)² = 16