Answer:
(x + 5)² + (y - 8)² = 16
Step-by-step 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 ) = (- 5, 8 ) and r = 4 , then
(x - (- 5) )² + (y - 8)² = 4² , that is
(x + 5)² + (y - 8)² = 16
