Question

Find the area of
of the region bunded by the.
ellipse x^2/4 + y^2/9=1
q​

Answer 1

$\bold{Answer:}$

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 $\bold{=4*\frac{3 \pi}{2}=6 \pi \:units. }$