Inner Width of Rectangular Hexagon given Area, Length, Inner Length and Short Width Calculator

Formula Used:

\[ w_{Inner} = \frac{A - (w_{Short} \times l_{Inner})}{l - l_{Inner}} - w_{Short} \]

Area of Rectangular Hexagon (A):

m²

Short Width of Rectangular Hexagon (w_Short):

Inner Length of Rectangular Hexagon (l_Inner):

Length of Rectangular Hexagon (l):

Inner Width of Rectangular Hexagon (w_Inner):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Inner Width of Rectangular Hexagon?

The Inner Width of Rectangular Hexagon is the length of the inner edge which is parallel to the width of the Rectangular Hexagon. It represents the remaining width dimension after removing the cut rectangular portion from the original rectangle.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

\[ w_{Inner} = \frac{A - (w_{Short} \times l_{Inner})}{l - l_{Inner}} - w_{Short} \]

Where:

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

Explanation: This formula calculates the inner width by first determining the area contribution of the removed rectangular portion and then solving for the remaining inner width dimension.

3. Importance of Inner Width Calculation

Details: Calculating the inner width is essential for geometric analysis, architectural design, and engineering applications involving rectangular hexagon shapes. It helps in determining the complete dimensional properties of the figure.

4. Using the Calculator

Tips: Enter all values in meters and square meters. Ensure that the length is greater than the inner length, and all values are positive numbers. The area must be greater than the product of short width and inner length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Rectangular Hexagon?
A: A Rectangular Hexagon is a geometric shape formed by removing a smaller rectangular portion from a larger rectangle, resulting in a six-sided polygon.

Q2: When is this calculation useful?
A: This calculation is useful in architectural design, manufacturing, and engineering where rectangular hexagon shapes are encountered, such as in window frames, structural elements, or mechanical parts.

Q3: What are the constraints for valid inputs?
A: All inputs must be positive values, the length must be greater than the inner length, and the area must be sufficient to accommodate the specified dimensions.

Q4: Can this formula be used for other polygon shapes?
A: No, this specific formula is designed only for rectangular hexagon shapes formed by removing a rectangular portion from a larger rectangle.

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