1. What is the Width of Dodecagon?

The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon. It represents the maximum distance between two parallel sides of the dodecagon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of Dodecagon (m)
• \( d_6 \) — Diagonal across Six Sides of Dodecagon (m)

3. Formula Explanation

Details: This formula calculates the width of a regular dodecagon based on the diagonal that spans across six sides. The formula incorporates square root functions to account for the geometric relationships in a 12-sided regular polygon.

4. Using the Calculator

Tips: Enter the diagonal across six sides in meters. The value must be positive and greater than zero. The calculator will compute the corresponding width of the dodecagon.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular dodecagon?
A: A regular dodecagon is a polygon with 12 equal sides and 12 equal angles.

Q2: How is the diagonal across six sides measured?
A: The diagonal across six sides is a straight line joining two non-adjacent vertices across six sides of the dodecagon.

Q3: What units should I use for input?
A: The calculator accepts any consistent unit of length, though meters are used by default. Ensure all measurements use the same unit.

Q4: Can this formula be used for irregular dodecagons?
A: No, this formula is specifically designed for regular dodecagons where all sides and angles are equal.

Q5: What is the relationship between width and other dodecagon measurements?
A: The width is related to various other measurements including side length, diagonals, and circumradius through specific geometric formulas.