1. What is the Height of Hendecagon?

The height of a hendecagon (11-sided polygon) is the perpendicular distance from one of its vertices to the opposite side. It is an important geometric measurement used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Hendecagon (m)
• \( A \) — Area of Hendecagon (m²)
• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( \tan \) — Tangent trigonometric function

Explanation: This formula calculates the height of a regular hendecagon based on its area, using trigonometric functions and mathematical constants.

3. Importance of Height Calculation

Details: Calculating the height of a hendecagon is important in geometry, architecture, and engineering applications where regular polygons are used. It helps in determining spatial relationships and dimensional properties.

4. Using the Calculator

Tips: Enter the area of the hendecagon in square meters. The value must be positive and non-zero. The calculator will compute the corresponding height.

5. Frequently Asked Questions (FAQ)

Q1: What is a hendecagon?
A: A hendecagon is a polygon with 11 sides and 11 angles. A regular hendecagon has all sides and angles equal.

Q2: Why use this specific formula?
A: This formula provides an accurate mathematical relationship between the area of a regular hendecagon and its height, derived from trigonometric principles.

Q3: What are the units of measurement?
A: The area should be entered in square meters (m²), and the height result will be in meters (m). Consistent units must be maintained.

Q4: Can this calculator be used for irregular hendecagons?
A: No, this calculator is specifically designed for regular hendecagons where all sides and angles are equal.

Q5: What is the precision of the calculation?
A: The calculator provides results with 6 decimal places precision, suitable for most practical applications.