A regular hexagon is a six-sided polygon that has equal-length sides and 120–degree interior angles.


# 
## Formula for the area of a hexagon
When calculating the area of a regular hexagon, apply the following formula:

$$
\text{Area} = \frac{3 \times \sqrt3 \times \text{length}^2}{2}
$$

Where length in the above formula represents the length of a side of a hexagon.

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

## Explanation
Let's suppose we have a length of 7. When we put the value of the length in the above formula, we have have the following equation:

$$
\begin{split}
\text{Area} & = \frac{3 \times \sqrt3 \times \text{length}^2}{2} \\
& = \frac{3 \times \sqrt3 \times 7^2}{2} \\
& = \frac{3 \times \sqrt3 \times 49}{2} \\
& \approx 127.31
\end{split}
$$

## Implementation
The approach here is to use the `sqrt` function for calculating the `sqrt(3)`. For that, we use `java.lang.Math` package. We'll declare the values of type `double` because the length can be in decimal form or may vary.

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

import java.lang.Math;

class Area {
    public static void main( String args[] ) {
        double length = 7.0;
        double area = 0.0; // Variable to calculate the area of a hexagon

        area = (3 * Math.sqrt(3) * length * length) / 2;
        System.out.println("Area of a hexagon with length " + length + " is: " + area );
    }
}

## Explanation
- **Line 1:** We use the `java.lang.Math` package so we can use the `sqrt` function in the code.
- **Line 5:** We declare a variable, `length`, to store the length of a hexagon.
- **Line 6:** We declare a variable, `area`, to store the value of the area.
- **Line 8:** We use the formula to calculate the area of the hexagon.
- **Line 9:** Then, we display the area of the hexagon.


How to get the area of a Hexagon in Java

Formula for the area of a hexagon

Problem statement

Explanation

Implementation

Explanation