Answer:
(x - 3)² + (y + 5)² = 64
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
given diameter = 16 , then r = 16 ÷ 2 = 8
with centre = (3, - 5 ) , then equation of circle is
(x - 3)² + (y - (- 5) )² = 8² , that is
(x - 3)² + (y + 5)² = 64