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The Height of Concave Regular Hexagon is the perpendicular distance from the bottom most point to the top most point of the Concave Regular Hexagon. It is a fundamental geometric measurement used in various mathematical and engineering applications.
The calculator uses the formula:
Where:
Explanation: This formula establishes the mathematical relationship between the height and breadth of a concave regular hexagon, using the constant ratio derived from geometric properties.
Details: Accurate height calculation is crucial for geometric analysis, structural design, and various engineering applications involving concave regular hexagons.
Tips: Enter the breadth of the concave regular hexagon in meters. The value must be positive and valid.
Q1: What is a concave regular hexagon?
A: A concave regular hexagon is a six-sided polygon with equal sides and angles, but with at least one interior angle greater than 180 degrees, causing it to cave inward.
Q2: Why is the square root of 3 used in this formula?
A: The square root of 3 appears due to the geometric properties and trigonometric relationships inherent in regular hexagons and equilateral triangles.
Q3: Can this formula be used for convex regular hexagons?
A: No, this specific formula applies only to concave regular hexagons as their geometric properties differ from convex ones.
Q4: What are the units of measurement for this calculation?
A: The formula uses consistent units (typically meters), so both input and output should be in the same unit system.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact when using precise values. The calculator provides results rounded to six decimal places for practical use.