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

Formula Used:

\[ A = ((lShort+lInner) \times (\sqrt{d^2-lShort^2})+wInner))-(lInner \times wInner) \]

Short Length of Rectangular Hexagon:

Inner Length of Rectangular Hexagon:

Diagonal of Rectangular Hexagon:

Inner Width 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's calculated based on the geometric properties of this specific hexagon shape.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = ((lShort+lInner) \times (\sqrt{d^2-lShort^2})+wInner))-(lInner \times wInner) \]

Where:

\( A \) — Area of Rectangular Hexagon (m²)
\( lShort \) — Short Length of Rectangular Hexagon (m)
\( lInner \) — Inner Length of Rectangular Hexagon (m)
\( d \) — Diagonal of Rectangular Hexagon (m)
\( wInner \) — Inner Width of Rectangular Hexagon (m)

Explanation: The formula calculates the area by combining the rectangular portions and subtracting the inner cut-out area.

3. Importance of Area Calculation

Details: Calculating the area of geometric shapes is fundamental in mathematics, engineering, architecture, and various design fields. It helps in material estimation, space planning, and structural analysis.

4. Using the Calculator

Tips: Enter all measurements in meters. Ensure all values are positive numbers. The diagonal must be greater than the short length for valid calculation.

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, creating a hexagon shape.

Q2: Why is the square root function used in the formula?
A: The square root function calculates the height component derived from the diagonal and short length using the Pythagorean theorem.

Q3: What units should I use for input?
A: The calculator expects all inputs in meters, but you can use any consistent unit as long as all measurements are in the same unit.

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places precision.

Q5: What if I get an error in calculation?
A: Ensure the diagonal measurement is greater than the short length, as this is mathematically required for the formula to work.