# A tricky area

Calculus Level 4

Let $$a$$ be a positive constant such that the area enclosed by the curve $$x^{2/5} + y^{2/5} = a^{2/5}$$ can be written as $$\dfrac AB \pi a^2$$, where $$A$$ and $$B$$ are coprime positive integers.

Find the sum of digits of $$A+B$$.

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