Answer:
(x + 6)² + (y - 2)² = 75
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) = (- 6, 2) and r = 5[tex]\sqrt{3}[/tex], hence
(x - (- 6))² + (y - 2)² = (5[tex]\sqrt{3}[/tex] )², that is
(x + 6)² + (y - 2)² = 75
