1. What is Inradius of Hendecagon?

The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon. It is the distance from the center of the Hendecagon to any of its sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \pi \) — Archimedes' constant (approximately 3.14159)
• \( \sin \) — Sine trigonometric function
• \( \tan \) — Tangent trigonometric function
• Diagonal across Three Sides of Hendecagon — A straight line joining two non-adjacent sides across three sides of the Hendecagon

3. Formula Explanation

Details: This formula calculates the inradius of a regular Hendecagon (11-sided polygon) using trigonometric relationships between the diagonal across three sides and the inscribed circle's radius.

4. Using the Calculator

Tips: Enter the diagonal across three sides 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 an 11-sided polygon, also known as an undecagon.

Q2: How is the inradius different from the circumradius?
A: The inradius is the radius of the inscribed circle (touching all sides), while the circumradius is the radius of the circumscribed circle (passing through all vertices).

Q3: What are the applications of calculating inradius?
A: Inradius calculations are important in geometry, architecture, and various engineering applications involving 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 units should be used for the input?
A: The calculator accepts meters as input, but any consistent unit of length can be used as the result will be in the same units.