If a polygon had 166 sides it would have 83 diagonals as each diagonal must join two vertices.
0.5*(402-120) = 740 diagonals
50*(50 - 3)/2 = 1175 diagonals.
A 9-sided polygon, is named 'Nonagon'. The number of diagonals are '9' From any one node, to the centre of the opposite side. Since there are 9 nodes and 9 lines, then there will be 9 diagonals.
Heptagon
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon. So: 0.5*(81-27) = 27 diagonals
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.
A normal convex polygon cannot have 15 diagonals. If it has n sides, it has n*(n-3)/2 diagonals and this is equal to 15 if n = 7.18. However, it is not possible for a polygon to have a fractional side.
There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.
A polygon that has 104 diagonals will have 16 sides
That polygon is called a "triangle". It has no diagonals.
An 11 sided polygon has 44 diagonals.
There are 90 diagonals in a 15-sided polygon.
A four-sided polygon has two diagonals.
You can use the formula D=S-2 where D is the number of possible diagonals and S is the number of sides the polygon has.
No
a convex polygon
The five sided Polygon has 5 diagonals