1. What is the Width of Dodecagon Formula?

The width of a regular dodecagon (12-sided polygon) is calculated using the formula: Width = (2 + √3) × Side. This formula provides the horizontal distance between the two parallel sides of the dodecagon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Side \) — Length of one side of the dodecagon
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: The formula accounts for the geometric properties of a regular dodecagon, where the width is determined by the side length and the mathematical constant √3.

3. Importance of Width Calculation

Details: Calculating the width of a dodecagon is important in various geometric applications, architectural design, and engineering projects where regular polygonal shapes are used.

4. Using the Calculator

Tips: Enter the side length of the dodecagon in meters. The value must be positive and valid.

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 width different from diameter?
A: Width specifically refers to the horizontal distance between parallel sides, while diameter typically refers to the distance through the center between opposite vertices.

Q3: Can this formula be used for irregular dodecagons?
A: No, this formula applies only to regular dodecagons where all sides and angles are equal.

Q4: What are practical applications of dodecagons?
A: Dodecagons are used in architecture, coin design, clock faces, and various decorative patterns.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular dodecagons, though practical measurements may have slight variations.