In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-48=0
2x^2+2y^2+10x-6y-48=0 divide the entire equation by 2
x^2 + 5x + y^2 -3y = 24 complete the square for x and y
(x+ 2.5)^2 + (y-1.5)^2 = 24 + 6.25 + 2.25
24 + 6.25 + 2.25 = r^2 = 32.5
area = pi r^2 = 32.5 pi
