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 span of a regular dodecagon when measured horizontally.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( w \) — Width of Dodecagon (m)
• \( P \) — Perimeter of Dodecagon (m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: This formula calculates the width of a regular dodecagon based on its perimeter, using the mathematical relationship between the side length and the width of a regular 12-sided polygon.

3. Formula Explanation

Details: The formula uses the square root function and the perimeter value to compute the width. The constant (2 + √3)/12 represents the ratio between the width and the perimeter of a regular dodecagon.

4. Using the Calculator

Tips: Enter the perimeter of the dodecagon 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 width different from diameter?
A: In a regular dodecagon, the width is the horizontal distance between parallel sides, while the diameter is the distance between opposite vertices.

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

Q4: What are practical applications of this calculation?
A: This calculation is useful in geometry, architecture, engineering, and design where dodecagonal shapes are used.

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