Nonagon Area Calculator
Find regular nonagon area, perimeter, and apothem
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Nonagon Area Formula
A = 9s² / (4 tan(π / 9))
A regular nonagon has nine equal sides. The area comes from the same regular polygon formula used for any equal-sided, equal-angled polygon.
⚠ This calculator assumes a regular nonagon. Side length must be positive.
How Nonagon Area Works
The nonagon can be split into nine congruent triangles from the center. Their combined area gives the total polygon area.
Nine Sides
A nonagon has nine sides.
Side Length
One side determines the regular shape.
Perimeter
Perimeter equals 9s.
Apothem
Apothem helps verify area.
💡 Example: For s=4, area is about 98.91, perimeter is 36, and apothem is 5.495.
Applications of Nonagon Area
Polygon Geometry
Drafting
Pattern Design
Math Practice
Frequently Asked Questions
What is a nonagon area calculator?▼
It calculates the area of a regular nine-sided polygon from side length.
What is the nonagon area formula?▼
It uses A = ns²/(4 tan(π/n)) with n = 9.
How do I use this calculator?▼
Enter the side length and click Calculate.
Does this work for irregular nonagons?▼
No. It assumes a regular nonagon with equal sides and angles.
Where is nonagon area used?▼
It is used in polygon geometry, pattern design, drafting, and math practice.
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