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

Formula Used:

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

Width of Rectangular Hexagon (w):

Short Length of Rectangular Hexagon (lShort):

Inner Length of Rectangular Hexagon (lInner):

Diagonal of Rectangular Hexagon (d):

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 geometric properties of the shape.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the area by considering the rectangular shape and subtracting the inner rectangular portion, using the diagonal measurement for accurate computation.

3. Importance of Area Calculation

Details: Calculating the area of geometric shapes is fundamental in mathematics, engineering, architecture, and various fields where spatial measurements are required for design and 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 results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a six-sided polygon formed from a rectangle by removing a smaller rectangular portion from one corner.

Q2: Why is the diagonal measurement important?
A: The diagonal helps determine the relationship between the width and short length, which is crucial for accurately calculating the removed rectangular portion.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before calculation.

Q4: What if the diagonal is smaller than the short length?
A: The calculation requires that the diagonal be greater than the short length. Otherwise, the square root operation would involve a negative number, which is not valid for real numbers.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The result is rounded to 6 decimal places for practical use.