Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$
\(x^2 + y^2 = 2x - 6y + 6\\ (x^2 -2x)+( y^2 -6y)= 6\\ (x^2 -2x+1)+( y^2 -6y+9)= 6+1+9\\ (x-1)^2+(y-3)^2=16 \)
This is a circle with a radius of 3
you can find the area from there.