1. What is Diagonal across Three Sides of Hendecagon?

A diagonal across three sides of a hendecagon is a straight line joining two non-adjacent vertices that spans across three sides of the eleven-sided polygon. This measurement is useful in geometric calculations and spatial analysis of regular hendecagons.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( Area \) — Area of the hendecagon (m²)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)
• \( \tan \) — Tangent trigonometric function
• \( \sin \) — Sine trigonometric function

3. Formula Explanation

Details: This formula derives from the geometric properties of regular hendecagons. It calculates the specific diagonal that spans across three sides based on the total area of the polygon, using trigonometric relationships inherent to the 11-sided regular shape.

4. Using the Calculator

Tips: Enter the area of the hendecagon in square meters. The area must be a positive value. The calculator will compute the diagonal measurement across three sides of the regular hendecagon.

5. Frequently Asked Questions (FAQ)

Q1: What is a hendecagon?
A: A hendecagon is an eleven-sided polygon. A regular hendecagon has all sides equal and all angles equal.

Q2: How many diagonals does a hendecagon have?
A: A hendecagon has 44 diagonals in total, with different lengths depending on how many sides they span across.

Q3: Can this formula be used for irregular hendecagons?
A: No, this formula is specifically designed for regular hendecagons where all sides and angles are equal.

Q4: What are the practical applications of this calculation?
A: This calculation is useful in geometry, architecture, engineering, and any field dealing with polygonal shapes and spatial relationships.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise for regular hendecagons, using exact trigonometric relationships derived from the polygon's geometry.