1. What is Perimeter of Hexadecagon?

The perimeter of a hexadecagon is the total length around its outer boundary. A hexadecagon is a polygon with 16 sides and 16 angles. Calculating its perimeter is essential in geometry and various practical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Perimeter of Hexadecagon (m)
• \( r_i \) — Inradius of Hexadecagon (m)

Explanation: This formula calculates the perimeter based on the inradius (the radius of the inscribed circle) of the hexadecagon, incorporating square root functions for precise geometric relationships.

3. Importance of Perimeter Calculation

Details: Accurate perimeter calculation is crucial for determining the boundary length of hexadecagonal shapes in architecture, engineering, and design projects.

4. Using the Calculator

Tips: Enter the inradius value in meters. The value must be positive and valid. The calculator will compute the perimeter using the geometric formula.

5. Frequently Asked Questions (FAQ)

Q1: What is a hexadecagon?
A: A hexadecagon is a polygon with 16 sides and 16 angles. It is a geometric shape used in various mathematical and design contexts.

Q2: What is the inradius of a polygon?
A: The inradius is the radius of the circle inscribed inside the polygon, touching all its sides from within.

Q3: Can this formula be used for other polygons?
A: No, this specific formula is derived for hexadecagons. Other polygons have different formulas based on their geometry.

Q4: What are the units for the inputs and outputs?
A: Both input (inradius) and output (perimeter) are in meters. Ensure consistent units for accurate results.

Q5: Is the calculator accurate for all hexadecagons?
A: Yes, the formula is mathematically derived for regular hexadecagons where all sides and angles are equal.