1. What is the Circumradius of Hexadecagon?

The circumradius of a hexadecagon is the radius of a circumcircle that touches all 16 vertices of the hexadecagon. It represents the distance from the center of the polygon to any of its vertices.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_c \) — Circumradius of Hexadecagon (m)
• \( P \) — Perimeter of Hexadecagon (m)

Explanation: This formula calculates the circumradius based on the perimeter of the regular hexadecagon, using geometric relationships and square root functions.

3. Importance of Circumradius Calculation

Details: Calculating the circumradius is important in geometry for determining the size and proportions of regular polygons, and is useful in various engineering and architectural applications involving polygonal shapes.

4. Using the Calculator

Tips: Enter the perimeter of the hexadecagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: How is the circumradius related to the side length?
A: For a regular hexadecagon, the circumradius can be calculated from the side length using trigonometric relationships.

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

Q4: What are practical applications of hexadecagon calculations?
A: Hexadecagons are used in architecture, mechanical design, and various geometric pattern applications.

Q5: How accurate is the calculation?
A: The calculation provides a precise mathematical result based on the input perimeter value.