## Circumscribed Quadrilateral

A Quadrilateral is called "good" if it is convex and it's four sidelengths are \(3\), \(4\), \(5\) and \(6\) (but not necessarily in that order). Let \(A\) be the diameter of the smallest circle such that we can fit a good quadrilateral completely inside the circle. Let \(B\) be the diameter of the largest circle such that we can fit a good quadrilateral completely around the circle.

Part A | What are the first \(2\) digits after the decimal point of \(A\)? | |
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Part B | What are the first \(8\) digits after the decimal point of \(B\)? |