1. What is a Dodecagon?

A dodecagon is a 12-sided polygon with twelve angles. A regular dodecagon has all sides equal in length and all angles equal in measure (150° each).

2. How Does the Calculator Work?

The calculator uses the regular dodecagon area formula:

Where:

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

Explanation: The formula calculates the area of a regular dodecagon based solely on its side length.

3. Importance of Area Calculation

Details: Calculating the area of a dodecagon is important in geometry, architecture, and design where twelve-sided shapes are used.

4. Using the Calculator

Tips: Enter the side length in any units (cm, m, inches, etc.). The result will be in square units of whatever unit you used for the side length.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between regular and irregular dodecagons?
A: Regular dodecagons have equal sides and angles, while irregular ones can have sides and angles of different measures.

Q2: Can this calculator be used for irregular dodecagons?
A: No, this calculator only works for regular dodecagons where all sides are equal.

Q3: What is the interior angle of a regular dodecagon?
A: Each interior angle measures 150° in a regular dodecagon.

Q4: What are some real-world examples of dodecagons?
A: Some coins, architectural designs, and decorative elements use dodecagonal shapes.

Q5: How is this formula derived?
A: The formula comes from dividing the dodecagon into 12 isosceles triangles and calculating their combined area.