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 occupied by this geometric shape.
The calculator uses the formula:
Where:
Explanation: The formula calculates the area by multiplying the square of the side length by the square root of 3, which is derived from the geometric properties of regular hexagons.
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 side length in meters. The value must be positive and valid. The calculator will compute the area using the mathematical formula.
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 indent inward.
Q2: Why does the formula use √3?
A: The √3 factor comes from the trigonometric relationships in equilateral triangles that form the basis of hexagon geometry calculations.
Q3: Can this formula be used for convex hexagons?
A: No, this specific formula applies to concave regular hexagons. Convex regular hexagons have different area calculation methods.
Q4: What units should I use for side length?
A: The side length should be in meters, and the area result will be in square meters. You can convert from other units as needed.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the formula. The accuracy depends on the precision of the input side length measurement.