Answer:
(x + 8)² + (y - 3)² = 64
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) = (- 8, 3) and r = 8, hence
(x - (- 8))² + (y - 3)² = 8²
(x + 8)² + (y - 3)² = 64 ← equation of circle