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)
• \( r_i \) — Inradius of Dodecagon (m)

Explanation: The width of a regular dodecagon is exactly twice its inradius, which is the radius of the circle inscribed within the dodecagon.

3. Formula Explanation

Details: This simple relationship exists because in a regular dodecagon, the inradius extends from the center to the midpoint of a side, and the width spans exactly two inradii across the polygon.

4. Using the Calculator

Tips: Enter the inradius value in meters. The value must be positive. 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 inradius different from circumradius?
A: Inradius is the radius of the inscribed circle (touching the sides), while circumradius is the radius of the circumscribed circle (passing through 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 dodecagon calculations?
A: Dodecagons are used in architecture, design, coin minting (some coins have 12 sides), and various engineering applications.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for regular dodecagons, with accuracy depending on the precision of the input measurement.