The area of the region, inside the ellipse x^2+4 y^2=4 and outside the region bounded by t…

Question

The area of the region, inside the ellipse $x^2+4 y^2=4$ and outside the region bounded by the curves $y=|x|-1$ and $y=1-|x|$, is :

Accepted Answer

$\begin{gathered} E:\frac{{x}^{2}}{4}+\frac{{y}^{2}}{1}=1 \ E=2\pi \ PQRS= (\sqrt{2}{)}^{2} \ =2 \ =2\pi -2 \ =2(\pi -1) \end{gathered}$

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