Formula Used:
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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.
The calculator uses the formula:
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.
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.
Tips: Enter the perimeter of the concave regular hexagon in meters. The value must be positive and greater than zero for accurate calculation.
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.