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Area Of Concave Regular Hexagon Given Perimeter Calculator

Formula Used:

\[ A = \frac{\sqrt{3}}{36} \times P^2 \]

m

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1. What is the Area of Concave Regular Hexagon?

The Area of Concave Regular Hexagon is the total quantity of plane enclosed by the boundary of the Concave Regular Hexagon. It represents the two-dimensional space contained within the hexagon's boundaries.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = \frac{\sqrt{3}}{36} \times P^2 \]

Where:

Explanation: This formula calculates the area of a concave regular hexagon based on its perimeter, using the mathematical constant √3 and a scaling factor of 1/36.

3. Importance of Area Calculation

Details: Calculating the area of geometric shapes is fundamental in mathematics, engineering, architecture, and various scientific fields. It helps in determining material requirements, spatial planning, and understanding geometric properties.

4. Using the Calculator

Tips: Enter the perimeter of the concave regular hexagon in 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 equal side lengths but with at least one interior angle greater than 180 degrees, causing the shape to have an indentation.

Q2: How does this formula differ from regular hexagon area?
A: The formula for concave regular hexagon area differs from that of a convex regular hexagon due to the different geometric properties and area distribution.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert the perimeter to meters before calculation, then convert the result back to desired area units.

Q4: What is the precision of the calculation?
A: The calculator provides results with up to 10 decimal places for accuracy in mathematical and engineering applications.

Q5: Are there limitations to this formula?
A: This formula specifically applies to concave regular hexagons with the defined geometric properties. It may not be accurate for irregular hexagons or hexagons with different concave configurations.

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