Once Again, You Forgot The Radius!

Geometry Level 3

Three identical circles from left to right contain 2, 3, and 4 small circles, respectively, such that the small circles (identical in each group) are tangential to each other and to the large circle. The total area of the small circles is the largest for the \(\text{ __________ }\) small circles.


Image Credit: Wikimedia Koko90.
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