Q: How many diagonals can be drawn in a 12 sided polygon?

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A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.

In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.

It is a 42 sided polygon and has: 0.5*(422-(3*42)) = 819 diagonals

38 diagonals

100 sided polygon has = n(n-3)/2 diagonals = 100(100-3)/2 = 4850 diagonals

Related questions

4...

A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.

It is 18 diagonals

A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.

5

170 diagonals

17

17

In a 54-sided polygon, 53 possible diagonals can be drawn from one vertex to another. These diagonals will not intersect. Therefore, the interior will be divided into 54 regions by the 53 diagonals plus the two sides of the original polygon that adjoin the vertex from which the diagonals are drawn.

It is a 42 sided polygon and has: 0.5*(422-(3*42)) = 819 diagonals

There are 90 diagonals in a 15-sided polygon.

An 11 sided polygon has 44 diagonals.