MathDB
Problems
Contests
International Contests
IMO Longlists
1983 IMO Longlists
75
Find the sum of the fiftieth powers of sides and diagonals
Find the sum of the fiftieth powers of sides and diagonals
Source:
October 7, 2010
geometry unsolved
geometry
Problem Statement
Find the sum of the fiftieth powers of all sides and diagonals of a regular
100
100
100
-gon inscribed in a circle of radius
R
.
R.
R
.
Back to Problems
View on AoPS