A hexagon with sides of length 2, 7, 2, 11, 7, 11 is inscribed in a circle. Find the radius of the circle.

*As suggested, *if* it matters, you may assume that the sides listed are given in order*

(In reply to

quick question by GOM)

*if* it matters ;-)... you may assume that the sides are in THAT order.

It is an interesting aside to determine whether or not it matters.