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

Formula Used:

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

Length of Rectangular Hexagon:

Short Width of Rectangular Hexagon:

Inner Width of Rectangular Hexagon:

Diagonal of Rectangular Hexagon:

Area of Rectangular Hexagon:

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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 using specific geometric properties including length, widths, and diagonal measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the area by considering the main rectangular area and subtracting the area of the cut rectangular portion, using the diagonal to determine the missing dimension.

3. Importance of Area Calculation

Details: Accurate area calculation is crucial for various applications including construction, material estimation, architectural design, and geometric analysis of complex shapes.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure all values are positive and the diagonal is longer than the short width for valid geometric configuration.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed by removing a smaller rectangular portion from a larger rectangle, creating an L-shaped or hexagon-like figure.

Q2: Why is the diagonal measurement important?
A: The diagonal helps determine the relationship between the different width measurements and ensures geometric consistency in the calculation.

Q3: Can this formula be used for all Rectangular Hexagons?
A: This specific formula applies to Rectangular Hexagons where the cut portion creates a right-angled configuration with the main rectangle.

Q4: What units should be used for input?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as all measurements are in the same unit.

Q5: How accurate is the calculation?
A: The calculation provides precise results based on the mathematical formula, with accuracy dependent on the precision of the input measurements.