Answer:
(x + 2)² + (y + 1)² = 2
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) = (- 2, - 1) and r = [tex]\sqrt{2}[/tex], thus
(x - (- 2))² + (y - (- 1))² = ([tex]\sqrt{2}[/tex] )², that is
(x + 2)² + (y + 1)² = 2 ← equation of circle
