In terms of π, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-18=0?
This is not a homework problem. This is just for fun!
First, you want to put this equation in a form that you can get information about the circle from.
Rearrange a bit:
Divide by 2
Add numbers to turn into perfect squares, making sure to add the same to both sides
(-5,1.5) is the center and 36.25 is the radius squared, so 36.25pi is the area.