I got stuck on this question.

Find a parametrization of the curve $\displaystyle x^\frac{2}{3} + y^\frac{2}{3} = 1$ and use it to compute the area of the interior

My solution:

I set

$\displaystyle x=cos^3 {\theta}$

$\displaystyle y=sin^3 {\theta}$

Then I'm stuck on how I should apply Green's Theorem.