1. What is Inradius of Hexadecagon?

The inradius of a hexadecagon is defined as the radius of the circle which is inscribed 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:

• \( r_i \) — Inradius of Hexadecagon (m)
• \( d_7 \) — Diagonal across Seven Sides of Hexadecagon (m)

Explanation: The inradius of a regular hexadecagon can be calculated by taking half the length of the diagonal that spans seven sides of the polygon.

3. Importance of Inradius Calculation

Details: Calculating the inradius is important in geometry for determining the size of the inscribed circle, which has applications in various fields including architecture, engineering, and design where regular polygons are used.

4. Using the Calculator

Tips: Enter the diagonal across seven sides 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. It is also known as a 16-gon.

Q2: How is the diagonal across seven sides defined?
A: The diagonal across seven sides is a straight line joining two non-adjacent vertices that spans seven sides of the hexadecagon.

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

Q4: What are some practical applications of hexadecagons?
A: Hexadecagons are used in various architectural designs, mechanical parts, and decorative patterns where symmetry and multiple sides are desired.

Q5: How does the inradius relate to other properties of the hexadecagon?
A: The inradius is related to the side length, circumradius, and various diagonals through specific geometric relationships in regular polygons.