1. What is the Height of Hendecagon?

The height of a hendecagon (11-sided polygon) is the perpendicular distance from one vertex to the opposite side. It's an important geometric measurement that helps in determining various properties of the polygon.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( h \) — Height of Hendecagon (m)
• \( d2 \) — Diagonal across Two Sides of Hendecagon (m)
• \( \pi \) — Mathematical constant (approximately 3.14159)

3. Formula Explanation

Details: This formula calculates the height of a regular hendecagon using trigonometric relationships. The sine and tangent functions help establish the geometric proportions between the diagonal measurement and the height of the polygon.

4. Using the Calculator

Tips: Enter the diagonal measurement across two 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, also known as an undecagon. It's a geometric shape with eleven straight sides and eleven angles.

Q2: What does the diagonal across two sides mean?
A: The diagonal across two sides refers to a straight line connecting two non-adjacent vertices that are separated by one vertex between them.

Q3: Is this formula specific to regular hendecagons?
A: Yes, this formula applies specifically to 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 design where hendecagonal shapes are used.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for regular hendecagons, using exact trigonometric relationships.