1. What is a 12-Sided Shape?

A 12-sided polygon is called a dodecagon. It has twelve vertices and twelve edges. In a regular dodecagon, all sides are equal in length and all angles are equal in measure.

2. How Does the Calculator Work?

The calculator uses the interior angle formula:

Where:

• \( n \) — Number of sides (12 for dodecagon)
• 180° — Total degrees in a triangle

Explanation: The formula calculates the measure of each interior angle in a regular n-sided polygon.

3. Importance of Interior Angle Calculation

Details: Knowing interior angles is essential for geometric constructions, architectural design, and various engineering applications involving regular polygons.

4. Using the Calculator

Tips: Enter the number of sides (minimum 3) to calculate the interior angle. The default is set to 12 for a dodecagon.

5. Frequently Asked Questions (FAQ)

Q1: What is the interior angle of a regular dodecagon?
A: 150° as calculated by ((12-2)×180°)/12 = 150°.

Q2: Can this calculator work for any regular polygon?
A: Yes, it works for any regular polygon with 3 or more sides.

Q3: What's the exterior angle of a dodecagon?
A: 30° (since exterior angle = 180° - interior angle).

Q4: How is this different from a central angle?
A: The central angle (30° for dodecagon) is 360°/n, while interior angle is (n-2)×180°/n.

Q5: What are some real-world applications?
A: Dodecagons are used in coin design (like British 50p coin), architecture, and various decorative patterns.