Answer:
(x - 2)² + (y + 5)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, - 5) and r = 4, hence
(x - 2)² + (y - (- 5))² = 4², that is
(x - 2)² + (y + 5)² = 16 ← is the equation of the circle