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Side Of Concave Regular Hexagon Given Height Calculator

Formula Used:

\[ S = \frac{2}{3} \times h \]

m

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1. What is the Side Length of Concave Regular Hexagon?

The Side Length of Concave Regular Hexagon is the length of any side of the Concave Regular Hexagon shape. It is a fundamental geometric measurement used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{2}{3} \times h \]

Where:

Explanation: This formula establishes a proportional relationship between the height and side length of a concave regular hexagon, where the side length is exactly two-thirds of the height.

3. Importance of Side Length Calculation

Details: Accurate calculation of side length is crucial for geometric analysis, architectural design, and various engineering applications where precise measurements of concave regular hexagons are required.

4. Using the Calculator

Tips: Enter the height of the concave regular hexagon in meters. The value must be positive and valid. The calculator will compute the corresponding side length using the established formula.

5. Frequently Asked Questions (FAQ)

Q1: What is a concave regular hexagon?
A: A concave regular hexagon is a six-sided polygon with equal side lengths but with at least one interior angle greater than 180 degrees, creating an indented shape.

Q2: Why is the side length exactly 2/3 of the height?
A: This specific ratio is a geometric property of concave regular hexagons, derived from their symmetrical structure and angular relationships.

Q3: Can this formula be used for convex regular hexagons?
A: No, this formula is specific to concave regular hexagons. Convex regular hexagons have different geometric properties and relationships.

Q4: What are practical applications of this calculation?
A: This calculation is used in architectural design, mechanical engineering, and geometric modeling where concave hexagonal shapes are employed.

Q5: How accurate is this formula?
A: The formula is mathematically exact for perfect concave regular hexagons and provides precise results when accurate height measurements are input.

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