$$5\ \cos^{-1}(-\frac{\sqrt{3}}{2})-4\ \tan^{-1}(\sqrt{3})+351r^{-1}(1)$$
$\frac{17\pi }{6}+\frac{351}{r}$
$$5\arccos(-\frac{\sqrt{3}}{2})-4\arctan(\sqrt{3})+351r^{-1}$$
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$\frac{17\pi r+2106}{6r}$
