Answer:
(x - 5)² + (y - 6)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
(h, k ) are the coordinates of the centre and r the radius
given centre = (5, 6 ) and r = 3
substitute these values into the equation of circle
(x - 5)² + (y - 6)² = 3² , that is
(x - 5)² + (y - 6)² = 9