1. **State the problem:** We need to find the circumference of circle O, given the center O at (-3, 2) and a point P on the circle at (-9, -1). 2. **Formula for circumference:** The circumference $C$ of a circle is given by $$C = 2\pi r$$ where $r$ is the radius of the circle. 3. **Find the radius:** The radius is the distance from the center O to any point on the circle, such as P. Use the distance formula: $$r = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where $O=(-3,2)$ and $P=(-9,-1)$. 4. **Calculate the radius:** $$r = \sqrt{(-9 - (-3))^2 + (-1 - 2)^2} = \sqrt{(-6)^2 + (-3)^2} = \sqrt{36 + 9} = \sqrt{45}$$ 5. **Simplify the radius:** $$r = \sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5} \approx 6.708$$ 6. **Calculate the circumference:** $$C = 2\pi r = 2\pi \times 6.708 \approx 42.132$$ 7. **Round the answer:** The circumference rounded to the nearest tenth is $$42.1$$ **Final answer:** The circumference of circle O is approximately $42.1$.