perplexus.info :: Calculus : Mean Diagonals

Mean Diagonals (Posted on 2018-11-23)

Let M_n be the arithmetic mean of the lengths of the diagonals of regular n-gon with a circumradius of π(pi).

Compute limit of M_n as n tends to infinity.

No Solution Yet Submitted by Danish Ahmed Khan

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Puzzle Answer

Comment 5 of 5 |

The required limit as Mn --> oo is 4n.

Posted by K Sengupta on 2022-06-26 01:28:24

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