# Polar coordinates

Calculus Level 2

If the area of the region enclosed by $$r = 7\cos 3\theta$$ in the interval $$(0\leq \theta \leq 2\pi) is ( \dfrac{a^2 \pi}b$$), where $$a$$ and $$b$$ are positive integers with $$b$$ minimized, what is the value of $$a+b$$.

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