The equation of an ellipse is $4x^2\ +\ 9y^2\ =\ 36$. The area ( in square unit) bounded by ellipse is-

$\frac{\mathrm{x}^{2}}{9}+\frac{\mathrm{y}^{2}}{4}=1 \therefore \mathrm{a}=3, \mathrm{~b}=2 \therefore$ Area $=\pi \mathrm{ab}=\pi(3)(2)$ sq. units $=6 \pi$ sq. units