The interior angles of a convex polygon are less than 180°.
Regularly, a polygon is firmly convex, if each line segment with two nonadjacent vertices of the polygon is strictly internal to the polygon but on its endpoints.
A regular convex polygon is a polygon where each side is of the same length, and all the interior angles are equal and less than 180 degrees.
The vertices and sides are evenly spread around a central point.

If the convex polygon has vertices, then the formula for the area of the convex polygon is: (number of sides \* length of one side \* apothem)/2

the length of apothem is given as the 1/(2 \* tan(180 / number of sides))
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