The equation of a circle uses the following formula:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
The center of the circle is given by (h,k). Therefore, h = -2, and k = -5. r = 1, so we can find the equation from the information given to us.
Plug in your values.
[tex](x + 2)^{2} + (y + 5)^{2} = 1^{2}[/tex]
[tex]1^{2} = 1[/tex]
The equation of this circle is as follows:
[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]
