
Answer:
(x - 2)² + (y + 5)² = 9
Step-by-step 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 = 3, thus
(x - 2)² + (y - )- 5))² = 3², that is
(x - 2)² + (y + 5)² = 9 ← equation in standard form