Area Of Rectangular Hexagon Given Diagonal, Length, Width And Short Width Calculator

Formula Used:

\[ A = (l \times w) - ((l - \sqrt{d^2 - w_{Short}^2}) \times (w - w_{Short})) \]

Length of Rectangular Hexagon (l):

Width of Rectangular Hexagon (w):

Diagonal of Rectangular Hexagon (d):

Short Width of Rectangular Hexagon (w_Short):

Area of Rectangular Hexagon (A):

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1. What is the Area of Rectangular Hexagon?

The Area of Rectangular Hexagon is the amount of 2-dimensional space covered or occupied by the figure. It is calculated by subtracting the area of the cut rectangular portion from the original rectangle's area.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = (l \times w) - ((l - \sqrt{d^2 - w_{Short}^2}) \times (w - w_{Short})) \]

Where:

\( A \) — Area of Rectangular Hexagon (m²)
\( l \) — Length of Rectangular Hexagon (m)
\( w \) — Width of Rectangular Hexagon (m)
\( d \) — Diagonal of Rectangular Hexagon (m)
\( w_{Short} \) — Short Width of Rectangular Hexagon (m)

Explanation: The formula calculates the area by first computing the area of the original rectangle and then subtracting the area of the cut rectangular portion.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and design where precise measurements of irregular shapes are required.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the diagonal is greater than the short width to avoid mathematical errors. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed by cutting a smaller rectangle from a larger rectangle, resulting in a shape with six sides.

Q2: Why is the square root function used in the formula?
A: The square root function is used to calculate one side of the right triangle formed by the diagonal and the short width, which helps determine the dimensions of the cut portion.

Q3: What are the units of measurement?
A: The calculator uses meters for all inputs and outputs square meters for the area. You can convert from other units as needed.

Q4: What if I get an error in calculation?
A: Ensure that the diagonal measurement is greater than the short width measurement, as this is mathematically required for the square root calculation to work.

Q5: Can this calculator be used for other polygon shapes?
A: No, this calculator is specifically designed for rectangular hexagons with the given parameters. Other shapes require different formulas.