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Answer:
(x + 1)² + (y + 5)² = 48
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) = (- 1, - 5) and r = 4, so
(x - (- 1))² + (y - (- 5))² = (4 )², that is
(x + 1)² + (y + 5)² = 48 ← equation of circle