Answer:

Explanation:
1) the equation of the circle is: (x-x₀)²+(y-y₀)²=r², where point(x₀;y₀) - centre of the circle, r - radius of the circle.
2) the coordinates of the centre are:


3) the radius is the distance between (-5;-1) and (-4;-6):

4) finally, the required equation is:
(x+5)²+(y+1)²=(√104)².