Answer:
Equation of the circle :
[tex](x+ 1)^2 + (y+4)^2 = 9[/tex]
Step-by-step explanation:
Equation of a circle with centre (a, b) and radius ,r :
[tex](x - a)^2 + (y-b)^2 = r^2[/tex] ------(1)
Here a = -1, b = -4
find radius:
Since the circle passes through (-1, -1) , the radius is the distance between the centre and the point.
[tex]distance, r = \sqrt{(-1 -(-1))^2 +(-4 -(-1))^2 }[/tex]
[tex]= \sqrt{9} = 3[/tex]
Substitute the values in (1) :
[tex](x - (-1))^2 + (y-(-4))^2 = 3^2\\\\(x+ 1)^2 + (y+4)^2 = 9[/tex]
