3

Part of 2016 Ecuador Juniors

Problems(1)

computational geo with cyclic 2016-gon - 2016 Ecuador Juniors (OMEC) L2 p3

Source:

P_1P_2 . . . P_{2016 }

be a cyclic polygon of

2016

K

be a point inside the polygon and let

M

be the midpoint of the segment

P_{1000}P_{2000}

KP_1 = KP_{2011} = 2016

KM

is perpendicular to

P_{1000}P_{2000}

, find the length of segment

KP_{2016}