Question

Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$.

Answer 1

x^2+2x     +y^2-6y =6      complete the square on x and y

(x+1)^2     + (y-3)^2 =  6 +1 +9= 16=4^2

this is a circle with   r= 4          area of a circle = pi r^2