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Side Of Concave Regular Hexagon Given Area Calculator

Formula Used:

\[ S = \sqrt{\frac{A}{\sqrt{3}}} \]

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

The side length of a concave regular hexagon is the measurement of any of the six equal sides of this geometric shape. A concave regular hexagon has all sides equal but has at least one interior angle greater than 180 degrees.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \sqrt{\frac{A}{\sqrt{3}}} \]

Where:

Explanation: This formula calculates the side length of a concave regular hexagon when the area is known, using the mathematical relationship between area and side length in this specific geometric configuration.

3. Importance of Side Length Calculation

Details: Calculating the side length from the area is important in geometric design, architectural planning, and various engineering applications where precise measurements of concave hexagonal shapes are required.

4. Using the Calculator

Tips: Enter the area of the concave regular hexagon in square meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this different from a convex regular hexagon?
A: In a convex regular hexagon, all interior angles are less than 180 degrees, while a concave regular hexagon has at least one interior angle greater than 180 degrees.

Q3: What are typical applications of concave hexagons?
A: Concave hexagons are used in architectural design, tiling patterns, mechanical engineering components, and various artistic and decorative applications.

Q4: Can this formula be used for any hexagon?
A: No, this specific formula applies only to concave regular hexagons where all sides are equal and the shape follows the specific geometric properties that relate area to side length through the square root of 3.

Q5: What units should I use for the area input?
A: The calculator expects area in square meters, but you can use any consistent unit system as long as the side length output is interpreted in the same linear units.

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