1. What is Height of Hendecagon?

The height of a hendecagon (11-sided polygon) is the perpendicular distance from one side to the opposite vertex. It represents the maximum vertical measurement of the regular polygon when oriented with one side horizontal.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( Diagonal \) — Diagonal across three sides of the hendecagon (meters)
• \( \pi \) — Mathematical constant (approximately 3.14159)
• \( \sin \) — Sine trigonometric function
• \( \tan \) — Tangent trigonometric function

3. Formula Explanation

Details: This formula derives from the geometric properties of regular hendecagons. It uses trigonometric relationships between the diagonal across three sides and the height of the polygon, taking advantage of the constant internal angles (147.27°) of a regular hendecagon.

4. Using the Calculator

Tips: Enter the diagonal measurement across three sides of the hendecagon in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a hendecagon?
A: A hendecagon is an 11-sided polygon. When regular, all sides and angles are equal.

Q2: How is the diagonal across three sides defined?
A: It's a straight line joining two non-adjacent vertices with exactly two vertices between them.

Q3: What are practical applications of this calculation?
A: This calculation is useful in geometry, architecture, engineering design, and any field dealing with regular polygonal structures.

Q4: How accurate is this formula?
A: The formula is mathematically exact for regular hendecagons, with accuracy limited only by computational precision.

Q5: Can this calculator handle different units?
A: The calculator uses meters, but you can convert from other units as long as you maintain consistency in your measurements.