Answer:
[tex](x + 2)^2 + (y + 5)^2 = 1[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center: (−2, −5); radius= 1
This means that [tex]x_0 = -2, y_0 = -5, r = 1[/tex]. So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - (-2))^2 + (y - (-5))^2 = 1^2[/tex]
[tex](x + 2)^2 + (y + 5)^2 = 1[/tex]
This is the equation of the circle.
