1. **State the problem:** We need to find the equation of a circle given its center and radius from the graph. 2. **Recall the formula for a circle's equation:** The standard form is $$ (x - h)^2 + (y - k)^2 = r^2 $$ where $(h, k)$ is the center and $r$ is the radius. 3. **Identify the center:** From the graph, the center is approximately at $(5, -5)$. 4. **Identify the radius:** The radius is about 3 units. 5. **Substitute values into the formula:** $$ (x - 5)^2 + (y - (-5))^2 = 3^2 $$ 6. **Simplify:** $$ (x - 5)^2 + (y + 5)^2 = 9 $$ 7. **Final answer:** The equation of the circle is $$ (x - 5)^2 + (y + 5)^2 = 9 $$ This equation represents a circle centered at $(5, -5)$ with radius 3 units.