All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Triangular Polygons II (Posted on 2011-10-11)
Three points have been chosen randomly from the vertices of a n-sided regular polygon.

Determine the probability (in terms of n) that the center of the given polygon lies in the interior of the triangle determined by the three chosen points.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 table Comment 2 of 2 |
(In reply to solution by Charlie)

n

` 3 1.0000000000 4                0.0000000000 5 0.5000000000 6                0.1000000000 7 0.4000000000 8                0.1428571429 9 0.357142857110                0.166666666711 0.333333333312                0.181818181813 0.318181818214                0.192307692315 0.307692307716                0.200000000017 0.300000000018                0.205882352919 0.294117647120                0.210526315821 0.289473684222                0.214285714323 0.285714285724                0.217391304325 0.282608695726                0.220000000027 0.280000000028                0.222222222229 0.277777777830                0.224137931031 0.275862069032                0.225806451633 0.274193548434                0.227272727335 0.272727272736                0.228571428637 0.271428571438                0.229729729739 0.270270270340                0.230769230841 0.269230769242                0.231707317143 0.268292682944                0.232558139545 0.267441860546                0.233333333347 0.266666666748                0.234042553249 0.265957446850                0.2346938776`

 Posted by Charlie on 2011-10-11 15:27:06

 Search: Search body:
Forums (2)