IIT JEE CONIC SECTIONS Prove that the area bounded by the circle `x^2+y^2=a^2` and the ellipse ...

Prove that the area bounded by the circle `x^2+y^2=a^2`
and the
ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`
is equal to
the area of another ellipse having semi-axis `a-b`
and `b ,a gt b`
.

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