1. **State the problem:** We need to find the equation of a circle given its center and radius. 2. **Recall the formula:** The standard form of a circle's equation with center $(h, k)$ and radius $r$ is: $$ (x - h)^2 + (y - k)^2 = r^2 $$ 3. **Identify the center and radius:** From the graph, the center is approximately $(-5, 6)$ and the radius is approximately $1$. 4. **Substitute values into the formula:** $$ (x - (-5))^2 + (y - 6)^2 = 1^2 $$ which simplifies to $$ (x + 5)^2 + (y - 6)^2 = 1 $$ 5. **Final answer:** The equation of the circle is $$ (x + 5)^2 + (y - 6)^2 = 1 $$