1. What is Inradius of Hexadecagon?

Inradius of Hexadecagon is defined as the radius of the circle which is inscribed inside the Hexadecagon. It is the distance from the center of the polygon to the midpoint of any side.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_i \) — Inradius of Hexadecagon (m)
• \( h \) — Height of Hexadecagon (m)

Explanation: The inradius of a regular hexadecagon (16-sided polygon) can be calculated as half of its height when the polygon is oriented with one side horizontal.

3. Importance of Inradius Calculation

Details: Calculating the inradius is important in geometry and engineering applications where inscribed circles within polygons are relevant. It helps in determining the maximum size of objects that can fit inside the polygon without overlapping its boundaries.

4. Using the Calculator

Tips: Enter the height of the hexadecagon in meters. The value must be positive and greater than zero for accurate calculation.

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

Q3: Can this calculator be used for other polygons?
A: No, this specific formula and calculator are designed only for regular hexadecagons. Other polygons have different formulas for calculating their inradius.

Q4: What are practical applications of this calculation?
A: This calculation is useful in architectural design, engineering, and manufacturing where hexagonal or polygonal shapes are used, particularly when designing components that need to fit within inscribed circles.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise for regular hexadecagons. The accuracy of the result depends on the accuracy of the input height value.