A **regular hexagon** is a six-sided polygon. Each side is equal in length, with each interior angle measuring $120^0$.

# Formula for the area of a hexagon

The formula to calculate the area of a regular hexagon is as follows:

$$\text{Area} = \frac{3 \times \sqrt{3} \times \text{side}^2}{2}.$$

In the formula above, the side represents the length of a side of a hexagon.

# Problem statement

We are given the length of a hexagon, and we have to calculate its area using the formula above.

# Explanation

Let’s suppose we have a side of length 5. When we put the value of the length in the formula above, we have the following equation:

$$
\begin{align*}
\text{Area} &= \frac{3 \times \sqrt{3} \times \text{side}^2}{2}, \\

&= \frac{3 \times \sqrt{3} \times \text{5}^2}{2}, \\

&= \frac{3 \times \sqrt{3} \times \text{25}}{2}, \\

&\approx 64.95. \\

\end{align*}
$$

# Implementation

The approach here is to use the `sqrt()` function for calculating the `sqrt(3)`. We create a function and call it to calculate the area.

Let’s see an example to calculate the area of a hexagon:

sideLength = 5;

function area = hexagon_area(side)
    area = (3 * sqrt(3) / 2) * side^2;
end

area = hexagon_area(sideLength);

disp(['Area of the hexagon: ', num2str(area)]);

octave

# Code explanation
In the code above:
- **Line 1:** We declare a variable, `side_length`, to store the length of a hexagon.

- **Lines 3-5:** We create a function, `hexagon_area`, that takes `side` as the input parameter and calculates the area of the hexagon using the formula.

- **Line 7:** We declare a variable, `area`, to store the value of the area and call the function.

- **Line 9:** We print the area of the hexagon.

How to find the area of a hexagon in MATLAB

Formula for the area of a hexagon

Problem statement

Explanation

Implementation

Code explanation