1. What is Side of Concave Regular Hexagon given Perimeter?

The side length of a concave regular hexagon is the length of any of its six equal sides. Given the total perimeter, the side length can be calculated by dividing the perimeter by 6.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S \) — Side Length of Concave Regular Hexagon (m)
• \( P \) — Perimeter of Concave Regular Hexagon (m)

Explanation: Since a regular hexagon has six equal sides, the side length is simply the total perimeter divided by 6.

3. Importance of Side Length Calculation

Details: Calculating the side length from perimeter is essential in geometry, architecture, and design applications where precise measurements of hexagonal shapes are required.

4. Using the Calculator

Tips: Enter the perimeter value in meters. The value must be positive and greater than zero to calculate the side length.

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, creating an indented shape.

Q2: Does this formula work for all types of hexagons?
A: This formula only works for regular hexagons (both convex and concave) where all six sides are equal in length.

Q3: What units should I use for the perimeter?
A: You can use any unit of length (meters, centimeters, inches, etc.), but the side length result will be in the same units.

Q4: Can I calculate perimeter if I know the side length?
A: Yes, the reverse calculation is simply P = 6 × S, where S is the side length.

Q5: Are there any limitations to this calculation?
A: This calculation assumes a perfect regular hexagon with exactly six equal sides. It does not account for measurement errors or irregular shapes.