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Area Of Concave Regular Hexagon Formula:
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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 occupied by the hexagon shape.
The calculator uses the formula:
Where:
Explanation: The formula calculates the area based on the breadth measurement of the concave regular hexagon, using the mathematical constant √3 for geometric relationships.
Details: Calculating the area of geometric shapes is fundamental in mathematics, engineering, architecture, and various design fields. It helps in material estimation, space planning, and structural analysis.
Tips: Enter the breadth of the concave regular hexagon in meters. The value must be positive and greater than zero. The calculator will compute the area automatically.
Q1: What is a concave regular hexagon?
A: A concave regular hexagon is a six-sided polygon where all sides are equal, but at least one interior angle is greater than 180 degrees, creating an indentation in the shape.
Q2: How is breadth defined for a concave regular hexagon?
A: The breadth is the perpendicular distance from the leftmost point to the rightmost point of the concave regular hexagon.
Q3: Why is √3 used in the formula?
A: The square root of 3 appears naturally in geometric calculations involving equilateral triangles and regular hexagons due to their 60-degree angles and trigonometric relationships.
Q4: Can this formula be used for convex regular hexagons?
A: No, this specific formula is derived for concave regular hexagons. Convex regular hexagons have a different area calculation formula.
Q5: What are practical applications of this calculation?
A: This calculation is useful in architectural design, mechanical engineering, tile patterns, and any application involving hexagonal shapes with concave properties.