Hexagon Formula
A polygon having six sides is known as a hexagon. There are few types of hexagon i.e, regular hexagon, irregular hexagon, and, concave hexagon. If all the sides of a hexagon are equal and angles are the same then the hexagon is called a regular hexagon. A hexagon has a total number of 9 diagonals. The sum of all interior angles of a regular hexagon is 720 degrees. Also, each interior angle is 120 degrees. A regular hexagon has an exterior angle of 60 degrees and the sum of all exterior angles is 360 degrees. The hexagon formula is used to calculate its area and perimeter.
What Is Hexagon Formula?
A polygon having six sides is known as a hexagon. There are few types of hexagon i.e, regular hexagon, irregular hexagon, and, concave hexagon. Formulas for area and perimeter are given below that are used in the hexagon formula. The hexagon formula can be written as:
Area of hexagon =\(\dfrac{(3\sqrt{3} \text s^2)}{2}\)
The perimeter of hexagon = 6s
Where,
 s = side length.
Let us see the applications of the hexagon formula in the following solved examples.
Solved Examples Using Hexagon Formula

Example 1: Calculate the perimeter and area of a regular hexagon having a side equal to 4 units.
Solution:
To Find: Perimeter and Area
Given: s= 4 units.
Using the hexagon formula for perimeter
Perimeter(P) = 6s
P = \(6 \times 4\)
P = 24 units
Using the regular hexagon formula for Area
\(\text{Area of hexagon} =\dfrac{(3\sqrt{3} \text s^2)}{2}\)
= \(\dfrac{(3\sqrt{3} \times 4^2)}{2}\)
= 41.56 units^{2}
Answer: Perimeter and area of the hexagon are 24 units and 41.56 units^{2}. 
Example 2: A hexagonal board has a perimeter equal to 12 inches. Find its area.
Solution:
To Find: Area of the hexagon.
Given: Perimeter = 12 inches.
The perimeter of hexagon = 6s
12 = 6 s
s = 2 inches.
Using the hexagon formula for Area,
\(\text{Area of hexagon} =\dfrac{(3\sqrt{3} \text s^2)}{2}\)
=\(\dfrac{(3\sqrt{3} \times 2^2)}{2}\)
=10.39 inches^{2}Answer: The area of the hexagonal board is 10.39 inches^{2}.