1. What Is The Circumradius Of Nonagon Given Inradius And Height?

The Circumradius of a Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon. This calculator determines the circumradius based on the height and inradius of the nonagon.

2. How Does The Calculator Work?

The calculator uses the formula:

Where:

• \( rc \) — Circumradius of Nonagon (m)
• \( h \) — Height of Nonagon (m)
• \( ri \) — Inradius of Nonagon (m)

Explanation: The formula calculates the circumradius by subtracting the inradius from the height of the nonagon.

3. Importance Of Circumradius Calculation

Details: Calculating the circumradius is important in geometry for determining the size and properties of polygons, particularly in construction, design, and various engineering applications.

4. Using The Calculator

Tips: Enter the height and inradius of the nonagon in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a nonagon?
A: A nonagon is a nine-sided polygon with nine angles and nine vertices.

Q2: What is the difference between circumradius and inradius?
A: The circumradius is the radius of the circle that passes through all vertices of the polygon, while the inradius is the radius of the circle inscribed inside the polygon.

Q3: Can this formula be used for other polygons?
A: No, this specific formula \( rc = h - ri \) is derived for nonagons and may not apply to other polygons.

Q4: What are typical applications of circumradius calculations?
A: Circumradius calculations are used in architecture, engineering design, computer graphics, and various geometric analyses.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of the input values. The calculator provides results with up to 4 decimal places.