On the average area of an n-gon

From: Mathematics and Computer Education | Date: April 1, 2002| Author: Collins, Charles R; Dobbs, David E | Copyright information

- MATHEMATICS AND COMPUTER EDUCATION

1. INTRODUCTION

As some recent papers ([11, [2], [8]) attest, there has been a continuing interest in arbitrary polygons, especially in questions concerning area. The special case of the area of a triangle received a probabilistic focus in [3]. This topic was pursued along different lines in [1], whose methods were also applied to cyclic quadrilaterals. (Recall that an n-gon is said to be cyclic if its vertices all lie on some circle; of co...