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Find the Area of the Region Bounded by the Ellipse X^2/4 + Y^2/9 = 1 - Mathematics

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

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Solution

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

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APPEARS IN

NCERT Class 12 Maths
Chapter 8 Application of Integrals
Q 5 | Page 366
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