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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