Answer:
(x - 5)² + (y + 3)² = 9
Explanation:
The standard equation of a circle with center (a, b) and radius r is given by
(x - a)² + (y-b)² = r²
Here the center is (5, -3) and r = 3
Substituting values for a = 5, b = -3 and r = 3
(x - 5)² + (y-(-3))² = 3²
(x - 5)² + (y + 3)² = 9
It is OK to leave it in this form without expanding