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)
by
Rwit Panda