1. What is the Width of Hendecagon?

The Width of Hendecagon is the horizontal distance from the left most edge to the right most edge of the Hendecagon. It is an important geometric property used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( W \) — Width of Hendecagon (m)
• \( r_c \) — Circumradius of Hendecagon (m)
• \( \pi \) — Archimedes' constant (≈3.14159)
• \( \sin \) — Sine trigonometric function

Explanation: This formula calculates the width of a regular hendecagon based on its circumradius using trigonometric relationships.

3. Importance of Width Calculation

Details: Calculating the width of a hendecagon is crucial in geometric design, architectural planning, and various engineering applications where regular polygons are used.

4. Using the Calculator

Tips: Enter the circumradius of the hendecagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a hendecagon?
A: A hendecagon is a polygon with 11 sides and 11 angles. It is also known as an undecagon.

Q2: What is the circumradius of a polygon?
A: The circumradius is the radius of a circumcircle that touches all vertices of the polygon.

Q3: Why use the sine function in this calculation?
A: The sine function helps determine the relationship between the circumradius and the width through trigonometric properties of regular polygons.

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

Q5: What are practical applications of hendecagon width calculation?
A: This calculation is used in architectural design, mechanical engineering, and geometric pattern creation where regular 11-sided shapes are required.