# Circumscribed To Infinity

Geometry Level 5

Circumscribe a triangle about a unit circle, another circle around the triangle, a square outside this circle, another circle outside the square and so forth.

Let $$r$$ be the radius of the circle formed when the process is carried forever.

Find the square root of the sum of first 14 decimal places of $$r$$

You are allowed to compute the answer by calculator or software.

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