Arrange in standard circle form to find r^2 first divide 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
r^2 = 32.5 pi r^2 = area = 32.5 pi units2 *** edited *** to fix error noted by catmg !