1. What is the Inradius of Hexadecagon?

The inradius of a hexadecagon (16-sided polygon) is the radius of the circle that fits perfectly inside the hexadecagon, touching all its sides. It represents the distance from the center of the hexadecagon to any of its sides.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Diagonal \) — Diagonal across two sides of the hexadecagon
• \( \pi \) — Mathematical constant (approximately 3.14159)
• \( \sin \) — Sine trigonometric function
• \( \sqrt \) — Square root function

3. Formula Explanation

Details: This formula calculates the inradius of a regular hexadecagon based on the diagonal measurement across two sides. It incorporates trigonometric functions (sine) and square roots to account for the geometric relationships within the 16-sided polygon.

4. Using the Calculator

Tips: Enter the diagonal measurement across two sides of the hexadecagon in meters. The value must be positive and greater than zero. The calculator will compute the corresponding inradius.

5. Frequently Asked Questions (FAQ)

Q1: What is a hexadecagon?
A: A hexadecagon is a polygon with 16 sides and 16 angles. When regular, all sides and angles are equal.

Q2: Why is the formula so complex?
A: The complexity arises from the trigonometric relationships in a 16-sided polygon, requiring sine functions of specific angles and square root expressions.

Q3: What units should I use?
A: Use consistent units (typically meters). The result will be in the same units as the input.

Q4: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q5: Is this formula specific to regular hexadecagons?
A: Yes, this formula applies only to regular hexadecagons where all sides and angles are equal.