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Let the centroid of an equilateral triangle $ABC$ be at the origin. Let one of the sides of the equilateral triangle be along the straight line $x + y = 3$. If $R$ and $r$ be the radius of circumcircle and incircle respectively of $\triangle ABC$, then $(R + r)$ is equal to:
(1) $\frac{9}{\sqrt{2}}$
(2) $7\sqrt{2}$
(3) $2\sqrt{2}$
(4) $3\sqrt{2}$
BETA
