# Mean Diagonals

Calculus Level 2

Diagonals of a regular 30-gon

Let $M_n$ be the arithmetic mean of the lengths of all the diagonals of the regular $n$-gon with a circumradius of $\pi$.

Compute $\displaystyle \lim_{n \to \infty} M_n$.

###### Image Credit: Graeme McRae.
×

Problem Loading...

Note Loading...

Set Loading...