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Regular Polygon Side from Apothem and Count

Calculate side length of a regular polygon from apothem and number of sides.

Author

Prof. Rajesh Sharma

Math editorial contributor

Indian agricultural economist from IARI New Delhi, advising governments on food security under climate change

Reviewed by

Prof. Kenji Tanaka

Math content reviewer

Japanese materials scientist at Kyoto University, known for breakthroughs in sustainable polymer research

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

5 units Apothem; 8 Number of Sides Number of Sides =

4.142136 units

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

Reference Values

Browse 56 reference values with individual detail pages for quick lookup.

Browse all reference values

Regular Polygon Side from Apothem and Count

Calculate side length of a regular polygon from apothem 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 Side from Apothem and Count Reference
ScenarioSide Length
0.5 units Apothem; 3 Number of Sides Number of Sides1.732051 units
0.5 units Apothem; 4 Number of Sides Number of Sides1 units
0.5 units Apothem; 5 Number of Sides Number of Sides0.726543 units
0.5 units Apothem; 6 Number of Sides Number of Sides0.57735 units
0.5 units Apothem; 8 Number of Sides Number of Sides0.414214 units
0.5 units Apothem; 10 Number of Sides Number of Sides0.32492 units
0.5 units Apothem; 12 Number of Sides Number of Sides0.267949 units
0.5 units Apothem; 20 Number of Sides Number of Sides0.158384 units
1 units Apothem; 3 Number of Sides Number of Sides3.464102 units
1 units Apothem; 4 Number of Sides Number of Sides2 units
1 units Apothem; 5 Number of Sides Number of Sides1.453085 units
1 units Apothem; 6 Number of Sides Number of Sides1.154701 units
1 units Apothem; 8 Number of Sides Number of Sides0.828427 units
1 units Apothem; 10 Number of Sides Number of Sides0.649839 units
1 units Apothem; 12 Number of Sides Number of Sides0.535898 units
1 units Apothem; 20 Number of Sides Number of Sides0.316769 units
2 units Apothem; 3 Number of Sides Number of Sides6.928203 units
2 units Apothem; 4 Number of Sides Number of Sides4 units
2 units Apothem; 5 Number of Sides Number of Sides2.90617 units
2 units Apothem; 6 Number of Sides Number of Sides2.309401 units
2 units Apothem; 8 Number of Sides Number of Sides1.656854 units
2 units Apothem; 10 Number of Sides Number of Sides1.299679 units
2 units Apothem; 12 Number of Sides Number of Sides1.071797 units
2 units Apothem; 20 Number of Sides Number of Sides0.633538 units
5 units Apothem; 3 Number of Sides Number of Sides17.320508 units
5 units Apothem; 4 Number of Sides Number of Sides10 units
5 units Apothem; 5 Number of Sides Number of Sides7.265425 units
5 units Apothem; 6 Number of Sides Number of Sides5.773503 units
5 units Apothem; 8 Number of Sides Number of Sides4.142136 units
5 units Apothem; 10 Number of Sides Number of Sides3.249197 units
5 units Apothem; 12 Number of Sides Number of Sides2.679492 units
5 units Apothem; 20 Number of Sides Number of Sides1.583844 units
10 units Apothem; 3 Number of Sides Number of Sides34.641016 units
10 units Apothem; 4 Number of Sides Number of Sides20 units
10 units Apothem; 5 Number of Sides Number of Sides14.530851 units
10 units Apothem; 6 Number of Sides Number of Sides11.547005 units
10 units Apothem; 8 Number of Sides Number of Sides8.284271 units
10 units Apothem; 10 Number of Sides Number of Sides6.498394 units
10 units Apothem; 12 Number of Sides Number of Sides5.358984 units
10 units Apothem; 20 Number of Sides Number of Sides3.167689 units
20 units Apothem; 3 Number of Sides Number of Sides69.282032 units
20 units Apothem; 4 Number of Sides Number of Sides40 units
20 units Apothem; 5 Number of Sides Number of Sides29.061701 units
20 units Apothem; 6 Number of Sides Number of Sides23.094011 units
20 units Apothem; 8 Number of Sides Number of Sides16.568542 units
20 units Apothem; 10 Number of Sides Number of Sides12.996788 units
20 units Apothem; 12 Number of Sides Number of Sides10.717968 units
20 units Apothem; 20 Number of Sides Number of Sides6.335378 units
50 units Apothem; 3 Number of Sides Number of Sides173.205081 units
50 units Apothem; 4 Number of Sides Number of Sides100 units
50 units Apothem; 5 Number of Sides Number of Sides72.654253 units
50 units Apothem; 6 Number of Sides Number of Sides57.735027 units
50 units Apothem; 8 Number of Sides Number of Sides41.421356 units
50 units Apothem; 10 Number of Sides Number of Sides32.49197 units
50 units Apothem; 12 Number of Sides Number of Sides26.794919 units
50 units Apothem; 20 Number of Sides Number of Sides15.838444 units

Frequently Asked Questions

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

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

It helps with deriving regular polygon side length from inradius/apothem measurements.

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

Side length = 2 × apothem × tan(π/n).

What inputs are valid?

Apothem must be non-negative and number of sides must be an integer >= 3.

When would I use this?

deriving regular polygon side length from inradius/apothem measurements

Methodology and Review

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