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Regular Polygon Apothem from Side and Count Reference Values

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

Author

Prof. Kwame Asante

Math editorial contributor

Ghanaian-British historian at Oxford, specializing in pre-colonial West African trade networks

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

Table of Contents

  1. All value pages
  2. Reference table
  3. FAQs
  4. Methodology and review
  5. Related conversions

Reference Value Index

This page lists 48 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Regular Polygon Apothem from Side and Count reference values
ScenarioApothem
1 units Side Length; 3 Number of Sides Number of Sides0.288675 units
1 units Side Length; 4 Number of Sides Number of Sides0.5 units
1 units Side Length; 5 Number of Sides Number of Sides0.688191 units
1 units Side Length; 6 Number of Sides Number of Sides0.866025 units
1 units Side Length; 8 Number of Sides Number of Sides1.207107 units
1 units Side Length; 10 Number of Sides Number of Sides1.538842 units
1 units Side Length; 12 Number of Sides Number of Sides1.866025 units
1 units Side Length; 20 Number of Sides Number of Sides3.156876 units
2 units Side Length; 3 Number of Sides Number of Sides0.57735 units
2 units Side Length; 4 Number of Sides Number of Sides1 units
2 units Side Length; 5 Number of Sides Number of Sides1.376382 units
2 units Side Length; 6 Number of Sides Number of Sides1.732051 units
2 units Side Length; 8 Number of Sides Number of Sides2.414214 units
2 units Side Length; 10 Number of Sides Number of Sides3.077684 units
2 units Side Length; 12 Number of Sides Number of Sides3.732051 units
2 units Side Length; 20 Number of Sides Number of Sides6.313752 units
5 units Side Length; 3 Number of Sides Number of Sides1.443376 units
5 units Side Length; 4 Number of Sides Number of Sides2.5 units
5 units Side Length; 5 Number of Sides Number of Sides3.440955 units
5 units Side Length; 6 Number of Sides Number of Sides4.330127 units
5 units Side Length; 8 Number of Sides Number of Sides6.035534 units
5 units Side Length; 10 Number of Sides Number of Sides7.694209 units
5 units Side Length; 12 Number of Sides Number of Sides9.330127 units
5 units Side Length; 20 Number of Sides Number of Sides15.784379 units
10 units Side Length; 3 Number of Sides Number of Sides2.886751 units
10 units Side Length; 4 Number of Sides Number of Sides5 units
10 units Side Length; 5 Number of Sides Number of Sides6.88191 units
10 units Side Length; 6 Number of Sides Number of Sides8.660254 units
10 units Side Length; 8 Number of Sides Number of Sides12.071068 units
10 units Side Length; 10 Number of Sides Number of Sides15.388418 units
10 units Side Length; 12 Number of Sides Number of Sides18.660254 units
10 units Side Length; 20 Number of Sides Number of Sides31.568758 units
20 units Side Length; 3 Number of Sides Number of Sides5.773503 units
20 units Side Length; 4 Number of Sides Number of Sides10 units
20 units Side Length; 5 Number of Sides Number of Sides13.763819 units
20 units Side Length; 6 Number of Sides Number of Sides17.320508 units
20 units Side Length; 8 Number of Sides Number of Sides24.142136 units
20 units Side Length; 10 Number of Sides Number of Sides30.776835 units
20 units Side Length; 12 Number of Sides Number of Sides37.320508 units
20 units Side Length; 20 Number of Sides Number of Sides63.137515 units
50 units Side Length; 3 Number of Sides Number of Sides14.433757 units
50 units Side Length; 4 Number of Sides Number of Sides25 units
50 units Side Length; 5 Number of Sides Number of Sides34.409548 units
50 units Side Length; 6 Number of Sides Number of Sides43.30127 units
50 units Side Length; 8 Number of Sides Number of Sides60.355339 units
50 units Side Length; 10 Number of Sides Number of Sides76.942088 units
50 units Side Length; 12 Number of Sides Number of Sides93.30127 units
50 units Side Length; 20 Number of Sides Number of Sides157.843788 units

Frequently Asked Questions

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

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

It helps with finding inradius/apothem for regular polygons in layout and area calculations.

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

Apothem = side / [2 tan(π/n)].

What inputs are valid?

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

When would I use this?

finding inradius/apothem for regular polygons in layout and area calculations

Methodology and Review

Each row on this page links to a value detail page derived from the same conversion data file as the main calculator and reference table. This reduces inconsistencies across page variants.

Editorial metadata and structured data are rendered across the converter page and linked value pages. Review policies are documented in our review process and editorial policy.