Let A1,A2 ,A3, .....,An be the vertices of an n-sided polygon such that 1/A1A2 = 1/A1A3 + 1/A1A4. Find the value of n.
A1A2,A1A3,A1A4 subtend angles 2π/n,4π/n,6π/n, respectively, at the centre of polygon. Hence
(where r is the circumradius of polygon). By problem,
