Nonagon Area Calculator
Calculate the area, perimeter, and other properties of regular and irregular nonagons (9-sided polygons).
Nonagon Configuration
Regular Nonagon Properties
Length of each side of the regular nonagon
Irregular Nonagon Vertices
Enter the coordinates of all 9 vertices in order (clockwise or counterclockwise):
Quick Reference
Interior Angle:
140°
Central Angle:
40°
Exterior Angle:
40°
Diagonals:
27
Nonagon Visualization
Nonagon Results
Area:
Perimeter:
Type:
Detailed Measurements
Linear Measurements:
Angular Measurements:
Irregular Nonagon Analysis
Side Lengths:
Interior Angles:
Centroid:
Mathematical Formulas
Area Formula:
Relationship Formulas:
About Nonagons
What is a Nonagon?
A nonagon (also called an enneagon) is a polygon with nine sides and nine vertices. In a regular nonagon, all sides are equal in length and all interior angles are equal (140°). Nonagons appear in architecture, art, and various geometric applications.
Key Properties
Regular Nonagon
- 9 equal sides and angles
- Interior angle: 140°
- Central angle: 40°
- Sum of interior angles: 1260°
- Number of diagonals: 27
Irregular Nonagon
- 9 sides of varying lengths
- 9 angles of varying measures
- Sum of interior angles: 1260°
- Area calculated using shoelace formula
- Can be convex or concave
How to Use This Calculator
- Choose between regular or irregular nonagon
- For regular: Select input method (side length, radius, area, etc.)
- For irregular: Enter the coordinates of all 9 vertices
- Click "Draw Nonagon" to visualize the shape
- Click "Calculate Nonagon" to get detailed measurements
- View area, perimeter, and other geometric properties
Input Methods for Regular Nonagon
- Side Length: Length of each side of the regular nonagon
- Circumradius (R): Radius of the circumscribed circle
- Inradius (r): Radius of the inscribed circle
- Area: Total area of the nonagon
- Perimeter: Total length around the nonagon
Mathematical Formulas
Area (regular):
Circumradius:
Inradius:
Applications
- Architecture: Building design and floor plans
- Art and Design: Decorative patterns and logos
- Engineering: Structural components and mechanical parts
- Mathematics: Geometric studies and polygon theory
- Games: Board game design and puzzle creation
Example Calculations
Try These Examples:
- Regular nonagon with side length 5 units
- Regular nonagon with circumradius 10 units
- Irregular nonagon with custom vertex coordinates