Area of Rectangular Hexagon Given Diagonal, Inner Length, Width and Short Width Calculator

Formula Used:

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

Width of Rectangular Hexagon (w):

Diagonal of Rectangular Hexagon (d):

Short Width of Rectangular Hexagon (wShort):

Inner Length of Rectangular Hexagon (lInner):

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 using specific dimensions of the hexagon including width, diagonal, short width, and inner length.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the area by considering the geometric properties of the rectangular hexagon, incorporating the square root function to account for the diagonal relationship.

3. Importance of Area Calculation

Details: Calculating the area of a rectangular hexagon is important in various fields including architecture, engineering, and design where this specific shape might be used in structures or components.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the diagonal is greater than the short width for valid calculation. 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 removing a smaller rectangle from a larger rectangle, creating a hexagon with specific geometric properties.

Q2: Why is the square root function used in this formula?
A: The square root function is used to calculate one of the side lengths based on the diagonal and short width using the Pythagorean theorem.

Q3: What units should I use for the inputs?
A: The calculator uses meters as the default unit, but any consistent unit of length can be used as long as all inputs are in the same unit.

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator can handle decimal inputs with up to 4 decimal places for precise calculations.

Q5: What if I get an error in calculation?
A: Ensure that the diagonal value is greater than the short width value, as this is mathematically necessary for the square root calculation to be valid.