Convex Hexagon: This is a hexagon in which all the interior angles measure less than 180°. Convex hexagons can be regular or irregular, which means they can have equal or unequal side lengths and angles. All the vertices of the convex hexagon are pointed outwards. An irregular hexagon is one in which not all of the sides and interior angles are equal. The figure below shows an irregular hexagon example: The diagonals shown in red are the long diagonals and the diagonals shown in blue are the short diagonals. Note that long diagonals and short diagonals apply to regular hexagons. The figure below shows an example of an irregular convex hexagon and its diagonals. Just as a reminder, the apothem is the distance between the midpoint of any side and the center. You can view it as the height of the equilateral triangle formed by taking one side and two radii of the hexagon (each of the colored areas in the image above). Alternatively, one can also think about the apothem as the distance between the center, and any side of the hexagon since the Euclidean distance is defined using a perpendicular line. Notice that the lengths of the sides, and therefore the measures of the interior angles, are not all equal. Also, none of the interior angles is larger than 180°, so the hexagon is convex. Concave hexagon

Print off the printable hexagon template for quilting templates and head on over to the tutorial for sewing directions– and then off you go!The following are various properties of all hexagons as well as properties of a regular hexagon. Properties of all hexagons where P is the perimeter and a is the apothem of the hexagon represented by the dotted red line in the figure below: From the center, a regular hexagon can be divided into six equilateral triangles, each having side length, s, as shown below. To find the perimeter of an irregular hexagon, find the sum of the lengths of the sides of the hexagon. Depending on the hexagon and the provided information, this may involve breaking the hexagon up into triangles and using a variety of triangle formulas to find the side lengths of the hexagon. Hexagon diagonals For the regular triangle, all sides are of the same length, which is the length of the side of the hexagon they form. We will call this a. And the height of a triangle will be h = √3/2 × a, which is the exact value of the apothem in this case. We remind you that √ means square root. Using this, we can start with the maths:

An irregular hexagon has at least one unequal side and angle when compared to the other sides and angles. There is no definite measurement of each of the angles, but the sum of all 6 interior angles is always 720°, and the sum of all 6 exterior angles is 360°. What are the Three Attributes of a Hexagon?

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The perimeter of a hexagon is the sum of its boundary. It is the sum of all six sides. In the case of a regular hexagon, the formula to calculate its perimeter is 6 × side length. What is an Irregular Hexagon? In a hexagon, the sum of all 6 interior angles is always 720º. The sum of interior angles of a polygon is calculated using the formula, (n-2) × 180°, where 'n' is the number of sides of the polygon. Since a hexagon has 6 sides, taking 'n' as 6 we get (6-2) × 180°, which gives 720°. How many Diagonals does a Regular Hexagon have? Where A₀ means the area of each of the equilateral triangles in which we have divided the hexagon. After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: