The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.
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.
A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.
It works out that a polygon with 1175 diagonals has 50 sides
1/2*(142-42) = 77 diagonals
The diagonals (drawn from a point) help in dividing the regular polygon into smaller triangles. The sum of the areas of these smaller triangles help in determining the total area of the polygon.
38 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.
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.
In a polygon with n sides, the number of diagonals that can be drawn from one vertex is given by the formula (n-3). Therefore, in a 35-sided polygon, you can draw (35-3) = 32 diagonals from one vertex.
It is 18 diagonals
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A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.
It works out that a polygon with 1175 diagonals has 50 sides
1/2*(142-42) = 77 diagonals
5