Question

Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1`

Answer 1

The given equation of the ellipse can be represented as

It can be observed that the ellipse is symmetrical about x-axis and y-axis.

∴ Area bounded by ellipse = 4 × Area OAB

Therefore, area bounded by the ellipse =  `4 xx (3pi)/2 = 6pi` units