1. What is the Height of Dodecagon?

The height of a dodecagon is the length of the perpendicular distance between any pair of opposite sides of the dodecagon. It represents the maximum vertical measurement of the regular 12-sided polygon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

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

3. Importance of Height Calculation

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

4. Using the Calculator

Tips: Enter the inradius value in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a dodecagon?
A: A dodecagon is a polygon with twelve sides and twelve angles. A regular dodecagon has all sides equal and all interior angles equal.

Q2: What is the inradius of a polygon?
A: The inradius is the radius of the inscribed circle (incircle) that fits perfectly inside the polygon, touching all its sides.

Q3: Is this formula specific to regular dodecagons?
A: Yes, this formula applies specifically to regular dodecagons where all sides and angles are equal.

Q4: Can this calculator be used for irregular dodecagons?
A: No, this calculator is designed specifically for regular dodecagons. Irregular dodecagons require different calculation methods.

Q5: What are some practical applications of dodecagons?
A: Dodecagons are used in various fields including architecture (building designs), coin design (some currencies), and mechanical engineering (gear designs).