# Tangential dilemma

Geometry Level pending

Two circles of unit radii are present in a plane with their centres $$P$$ and $$Q$$ such that $$PQ = 6 \text{ units}$$.

Another circle with radius $$R$$ such that $$R>2$$ is externally tangent to the other two circles.

A common tangent to all three circles passes through the mid point of $$PQ$$.

Find $$R$$

(This problem is not original)

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