Answer:
(x - 1)² + (y - 4)² = 9
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 ) = (1, 4 ) and r = 3 , then
(x - 1)² + (y - 4)² = 3² , that is
(x - 1)² + (y - 4)² = 9