What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?
x^2 + 12x + y^2 + 2y = 10 complete the square on x,y
x^2 + 12x + 36 + y^2 + 2y + 1 = 10 +36 + 1
(x + 6)^2 + ( y + 1)^2 = 47
47 = r^2
Area =
pi* r^2
47 pi
+1347 
