Regular Polygon Side from Apothem and Count Reference Values

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 for accuracy 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

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Reference Value Index

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All Reference Values

Reference Table

Regular Polygon Side from Apothem and Count reference values
Scenario	Side Length
0.5 units Apothem; 3 Number of Sides Number of Sides	1.732051 units
0.5 units Apothem; 4 Number of Sides Number of Sides	1 units
0.5 units Apothem; 5 Number of Sides Number of Sides	0.726543 units
0.5 units Apothem; 6 Number of Sides Number of Sides	0.57735 units
0.5 units Apothem; 8 Number of Sides Number of Sides	0.414214 units
0.5 units Apothem; 10 Number of Sides Number of Sides	0.32492 units
0.5 units Apothem; 12 Number of Sides Number of Sides	0.267949 units
0.5 units Apothem; 20 Number of Sides Number of Sides	0.158384 units
1 units Apothem; 3 Number of Sides Number of Sides	3.464102 units
1 units Apothem; 4 Number of Sides Number of Sides	2 units
1 units Apothem; 5 Number of Sides Number of Sides	1.453085 units
1 units Apothem; 6 Number of Sides Number of Sides	1.154701 units
1 units Apothem; 8 Number of Sides Number of Sides	0.828427 units
1 units Apothem; 10 Number of Sides Number of Sides	0.649839 units
1 units Apothem; 12 Number of Sides Number of Sides	0.535898 units
1 units Apothem; 20 Number of Sides Number of Sides	0.316769 units
2 units Apothem; 3 Number of Sides Number of Sides	6.928203 units
2 units Apothem; 4 Number of Sides Number of Sides	4 units
2 units Apothem; 5 Number of Sides Number of Sides	2.90617 units
2 units Apothem; 6 Number of Sides Number of Sides	2.309401 units
2 units Apothem; 8 Number of Sides Number of Sides	1.656854 units
2 units Apothem; 10 Number of Sides Number of Sides	1.299679 units
2 units Apothem; 12 Number of Sides Number of Sides	1.071797 units
2 units Apothem; 20 Number of Sides Number of Sides	0.633538 units
5 units Apothem; 3 Number of Sides Number of Sides	17.320508 units
5 units Apothem; 4 Number of Sides Number of Sides	10 units
5 units Apothem; 5 Number of Sides Number of Sides	7.265425 units
5 units Apothem; 6 Number of Sides Number of Sides	5.773503 units
5 units Apothem; 8 Number of Sides Number of Sides	4.142136 units
5 units Apothem; 10 Number of Sides Number of Sides	3.249197 units
5 units Apothem; 12 Number of Sides Number of Sides	2.679492 units
5 units Apothem; 20 Number of Sides Number of Sides	1.583844 units
10 units Apothem; 3 Number of Sides Number of Sides	34.641016 units
10 units Apothem; 4 Number of Sides Number of Sides	20 units
10 units Apothem; 5 Number of Sides Number of Sides	14.530851 units
10 units Apothem; 6 Number of Sides Number of Sides	11.547005 units
10 units Apothem; 8 Number of Sides Number of Sides	8.284271 units
10 units Apothem; 10 Number of Sides Number of Sides	6.498394 units
10 units Apothem; 12 Number of Sides Number of Sides	5.358984 units
10 units Apothem; 20 Number of Sides Number of Sides	3.167689 units
20 units Apothem; 3 Number of Sides Number of Sides	69.282032 units
20 units Apothem; 4 Number of Sides Number of Sides	40 units
20 units Apothem; 5 Number of Sides Number of Sides	29.061701 units
20 units Apothem; 6 Number of Sides Number of Sides	23.094011 units
20 units Apothem; 8 Number of Sides Number of Sides	16.568542 units
20 units Apothem; 10 Number of Sides Number of Sides	12.996788 units
20 units Apothem; 12 Number of Sides Number of Sides	10.717968 units
20 units Apothem; 20 Number of Sides Number of Sides	6.335378 units
50 units Apothem; 3 Number of Sides Number of Sides	173.205081 units
50 units Apothem; 4 Number of Sides Number of Sides	100 units
50 units Apothem; 5 Number of Sides Number of Sides	72.654253 units
50 units Apothem; 6 Number of Sides Number of Sides	57.735027 units
50 units Apothem; 8 Number of Sides Number of Sides	41.421356 units
50 units Apothem; 10 Number of Sides Number of Sides	32.49197 units
50 units Apothem; 12 Number of Sides Number of Sides	26.794919 units
50 units Apothem; 20 Number of Sides Number of Sides	15.838444 units

Frequently Asked Questions

Frequently asked questions for Regular Polygon Side from Apothem and Count and its reference values.

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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