Find the area of the region enclosed by the graph of x^2 + y^2 = 4x - 12y + 8.
x^2 -4x + y^2+12y = 8 complete the x and y squares
(x-2)2 + (y+6)2 = 8 + 4 +36 = 48
This is a circle with center 2, -6 and radius = sqrt 48 you should be able to calculate the area now that you have the radius ......