1. What is Inradius of Nonagon?

The inradius of a nonagon is the radius of the circle that fits perfectly inside the nonagon, touching all its sides. It's an important geometric property that helps in various geometric calculations and constructions.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

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

3. Formula Explanation

Details: The formula derives from trigonometric relationships within a regular nonagon. It calculates the inradius based on the diagonal measurement across three sides, using sine and tangent functions of angles specific to the nonagon's geometry.

4. Using the Calculator

Tips: Enter the diagonal measurement across three sides of the nonagon in meters. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a regular nonagon?
A: A regular nonagon is a nine-sided polygon where all sides are equal in length and all interior angles are equal (140° each).

Q2: How is the diagonal across three sides measured?
A: It's the straight line distance between two vertices that have two vertices between them along the perimeter.

Q3: Can this calculator be used for irregular nonagons?
A: No, this calculator is specifically designed for regular nonagons where all sides and angles are equal.

Q4: What are practical applications of calculating inradius?
A: Inradius calculations are used in architecture, engineering design, and various geometric constructions where precise measurements are required.

Q5: How accurate is the calculation?
A: The calculation uses precise trigonometric functions and provides results accurate to 12 decimal places for most practical purposes.