# Relationship between sides and diagonal of polygon

### How many diagonals are there in a sided polygon? | Socratic

A polygon of n sides has n vertices and n(n-3)/2 diagonals. Example: A hexagon has 6 sides, 6 vertices and 6(6–3)/2 = 9 diagonals. From any one of the vertices, say A1, construct diagonals to other vertices. There are Method 4. The point P chosen may not be on the vertex, side or inside the polygon. This method needs some knowledge of difference equation. It is a bit . What's the difference between a regular octagon and, well, an octagon? A polygon is any geometric shape all of whose sides are straight.

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