1. What is Side of Hexadecagon given Circumradius?

The side of a hexadecagon (16-sided polygon) given its circumradius is calculated using a specific geometric formula that relates the side length to the radius of the circumscribed circle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S \) — Side of Hexadecagon (m)
• \( r_c \) — Circumradius of Hexadecagon (m)

Explanation: This formula calculates the side length of a regular hexadecagon based on the radius of its circumscribed circle, using nested square root expressions.

3. Importance of Side Calculation

Details: Calculating the side length from circumradius is essential in geometric design, architecture, and engineering applications involving regular 16-sided polygons.

4. Using the Calculator

Tips: Enter the circumradius 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. When regular, all sides and angles are equal.

Q2: What is circumradius?
A: Circumradius is the radius of a circle that passes through all vertices of a polygon.

Q3: Can this formula be used for irregular hexadecagons?
A: No, this formula applies only to regular hexadecagons where all sides and angles are equal.

Q4: What are practical applications of this calculation?
A: This calculation is used in architectural design, mechanical engineering, and geometric pattern creation.

Q5: How accurate is this calculation?
A: The calculation provides mathematically exact results for regular hexadecagons, limited only by computational precision.