In terms of pi, what is the area of the circle defined by the equation 2x^2+2y^2+10x-6y-48=0
+128474 2x^2 + 10x + 2y^2 - 6y = 48 divide through by 2
x^2 + 5x + y^2 - 3y = 24 complete the square on x and y
x^2 + 5x + 25/4 + y^2 - 3y + 9/4 = 24 + 25/4 + 9/4
r^2 = 24 + 25/4 + 9/4
r^2 = 24 + 34/4
r^2 = 24 + 17/2
r^2 = (48 + 17) / 2
r^2 = 65 / 2 = 32.5
The area = pi * r^2 =
32.5 pi
