14 diagonals
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The formula is: 0.5*(n2-3n) = diagonals whereas n is the number of sides of the polygon
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.
If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals
It works out that a polygon with 1175 diagonals has 50 sides
The total number of diagonals for a convex (or concave) polygon, a hexagon being of the former type, is given by the equation (n2 - 3n)/2, where n is the number of sides of the polygon. A hexagon has 6 sides, so plugging the number 6 into the above equation for n, one finds that a hexagon has: [62 - 3(6)]/2 = (36 - 18)/2 = 18/2 = 9 diagonals.