What is the area enclosed by the region defined by the equation x^2+y^2+6x+8y = 0?
This is a circle.....
"complete the square" for x and y to get
(x+3)^2 + (y+4)^2 =5^2 so the center is -3,-4 and the radius is 5 Area of a circle = pi r^2 = 25 pi