Convertools

Regular Polygon Area from Side and Count

Calculate regular polygon area from side length and number of sides.

Author

Prof. Chen Wei

Math editorial contributor

Chinese AI ethics researcher at Tsinghua University, publishing extensively on algorithmic bias in hiring systems

Reviewed by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

Last updatedFebruary 22, 2026

PublishedFebruary 22, 2026

Table of Contents

  1. Reference values
  2. Calculator
  3. Reference table
  4. FAQs
  5. Methodology and review
  6. Related conversions

10 units Side Length; 3 Number of Sides Number of Sides =

43.30127 sq units

Representative value from the Regular Polygon Area from Side and Count reference table.

Reference Values

Browse 48 reference values with individual detail pages for quick lookup.

Browse all reference values

Regular Polygon Area from Side and Count

Calculate regular polygon area from side length and number of sides.

Calculated Result

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Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Regular Polygon Area from Side and Count Reference
ScenarioArea
1 units Side Length; 3 Number of Sides Number of Sides0.433013 sq units
1 units Side Length; 4 Number of Sides Number of Sides1 sq units
1 units Side Length; 5 Number of Sides Number of Sides1.720477 sq units
1 units Side Length; 6 Number of Sides Number of Sides2.598076 sq units
1 units Side Length; 8 Number of Sides Number of Sides4.828427 sq units
1 units Side Length; 10 Number of Sides Number of Sides7.694209 sq units
1 units Side Length; 12 Number of Sides Number of Sides11.196152 sq units
1 units Side Length; 20 Number of Sides Number of Sides31.568758 sq units
2 units Side Length; 3 Number of Sides Number of Sides1.732051 sq units
2 units Side Length; 4 Number of Sides Number of Sides4 sq units
2 units Side Length; 5 Number of Sides Number of Sides6.88191 sq units
2 units Side Length; 6 Number of Sides Number of Sides10.392305 sq units
2 units Side Length; 8 Number of Sides Number of Sides19.313708 sq units
2 units Side Length; 10 Number of Sides Number of Sides30.776835 sq units
2 units Side Length; 12 Number of Sides Number of Sides44.78461 sq units
2 units Side Length; 20 Number of Sides Number of Sides126.27503 sq units
5 units Side Length; 3 Number of Sides Number of Sides10.825318 sq units
5 units Side Length; 4 Number of Sides Number of Sides25 sq units
5 units Side Length; 5 Number of Sides Number of Sides43.011935 sq units
5 units Side Length; 6 Number of Sides Number of Sides64.951905 sq units
5 units Side Length; 8 Number of Sides Number of Sides120.710678 sq units
5 units Side Length; 10 Number of Sides Number of Sides192.355221 sq units
5 units Side Length; 12 Number of Sides Number of Sides279.903811 sq units
5 units Side Length; 20 Number of Sides Number of Sides789.218939 sq units
10 units Side Length; 3 Number of Sides Number of Sides43.30127 sq units
10 units Side Length; 4 Number of Sides Number of Sides100 sq units
10 units Side Length; 5 Number of Sides Number of Sides172.04774 sq units
10 units Side Length; 6 Number of Sides Number of Sides259.807621 sq units
10 units Side Length; 8 Number of Sides Number of Sides482.842712 sq units
10 units Side Length; 10 Number of Sides Number of Sides769.420884 sq units
10 units Side Length; 12 Number of Sides Number of Sides1,119.615242 sq units
10 units Side Length; 20 Number of Sides Number of Sides3,156.875757 sq units
20 units Side Length; 3 Number of Sides Number of Sides173.205081 sq units
20 units Side Length; 4 Number of Sides Number of Sides400 sq units
20 units Side Length; 5 Number of Sides Number of Sides688.19096 sq units
20 units Side Length; 6 Number of Sides Number of Sides1,039.230485 sq units
20 units Side Length; 8 Number of Sides Number of Sides1,931.37085 sq units
20 units Side Length; 10 Number of Sides Number of Sides3,077.683537 sq units
20 units Side Length; 12 Number of Sides Number of Sides4,478.460969 sq units
20 units Side Length; 20 Number of Sides Number of Sides12,627.503029 sq units
50 units Side Length; 3 Number of Sides Number of Sides1,082.531755 sq units
50 units Side Length; 4 Number of Sides Number of Sides2,500 sq units
50 units Side Length; 5 Number of Sides Number of Sides4,301.193501 sq units
50 units Side Length; 6 Number of Sides Number of Sides6,495.190528 sq units
50 units Side Length; 8 Number of Sides Number of Sides12,071.067812 sq units
50 units Side Length; 10 Number of Sides Number of Sides19,235.522107 sq units
50 units Side Length; 12 Number of Sides Number of Sides27,990.381057 sq units
50 units Side Length; 20 Number of Sides Number of Sides78,921.893933 sq units

Frequently Asked Questions

Common questions about Regular Polygon Area from Side and Count, formulas, and typical use cases.

What does the Regular Polygon Area from Side and Count calculator do?

It helps with estimating area of regular polygons from side count and side length.

What formula does the Regular Polygon Area from Side and Count calculator use?

Regular polygon area = (n × side²) / (4 × tan(π/n)).

What inputs are valid?

Side length must be non-negative and the number of sides must be an integer 3 or greater.

When would I use this?

estimating area of regular polygons from side count and side length

Methodology and Review

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