1. What is Diagonal across Two Sides of Hendecagon?

A diagonal across two sides of a hendecagon is a straight line joining two non-adjacent vertices that are separated by two sides of the regular 11-sided polygon.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( \tan \) — Tangent trigonometric function
• \( \sin \) — Sine trigonometric function
• Inradius — Radius of the circle inscribed inside the hendecagon

3. Formula Explanation

Details: This formula calculates the length of the diagonal that spans across two sides of a regular hendecagon, using the inradius (the radius of the inscribed circle) as the input parameter. The formula incorporates trigonometric functions to account for the geometric properties of the 11-sided polygon.

4. Using the Calculator

Tips: Enter the inradius value in meters. The inradius must be a positive number greater than zero. The calculator will compute the corresponding diagonal length across two sides of the hendecagon.

5. Frequently Asked Questions (FAQ)

Q1: What is a hendecagon?
A: A hendecagon is a polygon with 11 sides and 11 angles. When all sides and angles are equal, it's called a regular hendecagon.

Q2: What is the inradius of a polygon?
A: The inradius is the radius of the largest circle that can fit inside the polygon, touching all its sides.

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 design where regular hendecagonal shapes are involved.

Q5: How accurate is the calculation?
A: The calculation uses precise mathematical constants and trigonometric functions, providing highly accurate results for the given input.