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Regular Polygon Apothem from Side and Count

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 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

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

2.886751 units

Representative value from the Regular Polygon Apothem 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 Apothem from Side and Count

Calculate apothem of a regular polygon 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 Apothem from Side and Count Reference
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

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

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

This page combines a live calculator, precomputed reference values, and FAQ content from the same conversion definition to reduce mismatch between calculator output and lookup tables.

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