Answer:
(x - 3)² + (y + 5)² = 16
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 is the radius
given centre = (3, - 5 ) and diameter = 8 , then r = 8 ÷ 2 = 4, so
(x - 3)² + (y - (- 5) )² = 4² , that is
(x - 3)² + (y + 5)² = 16