A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.
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A six sided hexagon has nine diagonals.
A nine sided nonagon has 27 diagonals
A nine sided plane figure is a nonagon. A nine sided three dimensional figure is a nonahedron.
nine sided figure = nueve figura una cara nonagon = nonágono
Nine-sided closed figure