1. What is the Hendecagon Side Formula?

The Hendecagon Side Formula calculates the length of one side of a regular hendecagon (11-sided polygon) when the total area is known. This formula is derived from geometric principles and trigonometric functions.

2. How Does the Calculator Work?

The calculator uses the Hendecagon Side Formula:

Where:

• \( S \) — Side length of the hendecagon
• \( A \) — Area of the hendecagon
• \( \pi \) — Mathematical constant (approximately 3.14159)
• \( \tan \) — Tangent trigonometric function

Explanation: The formula calculates the side length by relating the area to the geometric properties of a regular 11-sided polygon using trigonometric relationships.

3. Importance of Side Calculation

Details: Calculating the side length of a regular hendecagon is important in geometry, architecture, and design applications where precise measurements of 11-sided polygons are required.

4. Using the Calculator

Tips: Enter the area of the hendecagon in square meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular hendecagon?
A: A regular hendecagon is an 11-sided polygon where all sides are equal in length and all interior angles are equal.

Q2: Why is the tangent function used in this formula?
A: The tangent function is used to relate the side length to the area through the central angle of the polygon (π/11 radians).

Q3: Can this formula be used for irregular hendecagons?
A: No, this formula only applies to regular hendecagons where all sides and angles are equal.

Q4: What are practical applications of hendecagon calculations?
A: Hendecagons are used in architectural design, coin design (some countries), and various geometric pattern applications.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for regular hendecagons, though real-world measurements may have practical limitations.