Circle Plot 9Ab5Bc

1. **State the problem:** We need to plot the circle given by the equation $$(x-1)^2+(y-1)^2=9$$. 2. **Formula and explanation:** The general form of a circle's equation is $$(x-h)^2+(y-k)^2=r^2$$ where $$(h,k)$$ is the center and $$r$$ is the radius. 3. **Identify center and radius:** Comparing, the center is $$(1,1)$$ and the radius is $$r=\sqrt{9}=3$$. 4. **Plotting details:** The circle is centered at $$(1,1)$$ with radius $$3$$, so it extends from $$x=1-3=-2$$ to $$x=1+3=4$$ horizontally and from $$y=1-3=-2$$ to $$y=1+3=4$$ vertically. 5. **Final answer:** The circle with center $$(1,1)$$ and radius $$3$$ is plotted accordingly.