Find the area of the region enclosed by the graph of the equation x^2 + y^2 = 8x + 9y - 105.
This is the equation of a circle...put it into standard form to find the radius....then area = pi r^2
x^2 - 8x + y^2-9y = - 105 ' complete the square' for x and y
(x-4)^2 + (y-4.5)^2 = - 105 +16 + 20.25 ( are you SURE that was a - 105 ??)
I will assume -105 is supposed to be - 10.5
- 10.5 + 16 + 20.25 = r^2 r = 5.074 units
Then pi r^2 = 25.75 pi units2