What A Weird Shape!

Geometry Level 2

There is a common tangent which intersects the three tangent circles shown above at \(E,\) \(F,\) and \(G.\) If \( EF = 6 \) and \( FG = 3 \), find the area of the orange region. Use the approximation \(\pi \approx \frac{22}{7}.\)

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