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Hexagonal Dilemma (Posted on 2004-06-02) Difficulty: 4 of 5
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

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (5 votes)

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Is there a more satisfying solution? | Comment 9 of 18 |

My method of solution was similar to Charlie's Excell solution.

I created a complicated formula involving the sum of arcsines which I had to solve via graphing on my calculator.  When the solution came out exactly 7, it made me think "There must be a way of finding this using more geometric reasoning."

Is there?  I agree the solution is correct, but I'm unsatisfied with the method.


  Posted by Jer on 2004-06-03 07:25:54
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