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)
• \( d5 \) — Diagonal Across Five Sides of Dodecagon (m)

Explanation: The width of a regular dodecagon is equal to the diagonal across five sides, as they share the same measurement in a regular dodecagon.

3. Importance of Width Calculation

Details: Calculating the width of a dodecagon is important in geometry, architecture, and engineering applications where regular polygonal shapes are used. It helps in determining the spatial requirements and dimensions of dodecagonal structures.

4. Using the Calculator

Tips: Enter the diagonal across five sides of the dodecagon in meters. The value must be valid (greater than 0).

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 width different from the diameter?
A: In a regular dodecagon, the 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 is specific 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 (such as the Australian 50-cent coin), and various decorative patterns.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular dodecagons, as the width equals the diagonal across five sides by geometric properties.