Convertools

Regular Polygon Circumradius from Side and Count

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

Author

Dr. Mariam Diallo

Math editorial contributor

Senegalese sociolinguist with a doctorate from Sorbonne, studying code-switching in multilingual urban communities

Reviewed by

Dr. Samuel Okafor

Math content reviewer

Nigerian-Canadian data scientist with a PhD from the University of Toronto, building ML models for early cancer detection

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 =

5.773503 units

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

Calculate circumradius 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 Circumradius from Side and Count Reference
ScenarioCircumradius
1 units Side Length; 3 Number of Sides Number of Sides0.57735 units
1 units Side Length; 4 Number of Sides Number of Sides0.707107 units
1 units Side Length; 5 Number of Sides Number of Sides0.850651 units
1 units Side Length; 6 Number of Sides Number of Sides1 units
1 units Side Length; 8 Number of Sides Number of Sides1.306563 units
1 units Side Length; 10 Number of Sides Number of Sides1.618034 units
1 units Side Length; 12 Number of Sides Number of Sides1.931852 units
1 units Side Length; 20 Number of Sides Number of Sides3.196227 units
2 units Side Length; 3 Number of Sides Number of Sides1.154701 units
2 units Side Length; 4 Number of Sides Number of Sides1.414214 units
2 units Side Length; 5 Number of Sides Number of Sides1.701302 units
2 units Side Length; 6 Number of Sides Number of Sides2 units
2 units Side Length; 8 Number of Sides Number of Sides2.613126 units
2 units Side Length; 10 Number of Sides Number of Sides3.236068 units
2 units Side Length; 12 Number of Sides Number of Sides3.863703 units
2 units Side Length; 20 Number of Sides Number of Sides6.392453 units
5 units Side Length; 3 Number of Sides Number of Sides2.886751 units
5 units Side Length; 4 Number of Sides Number of Sides3.535534 units
5 units Side Length; 5 Number of Sides Number of Sides4.253254 units
5 units Side Length; 6 Number of Sides Number of Sides5 units
5 units Side Length; 8 Number of Sides Number of Sides6.532815 units
5 units Side Length; 10 Number of Sides Number of Sides8.09017 units
5 units Side Length; 12 Number of Sides Number of Sides9.659258 units
5 units Side Length; 20 Number of Sides Number of Sides15.981133 units
10 units Side Length; 3 Number of Sides Number of Sides5.773503 units
10 units Side Length; 4 Number of Sides Number of Sides7.071068 units
10 units Side Length; 5 Number of Sides Number of Sides8.506508 units
10 units Side Length; 6 Number of Sides Number of Sides10 units
10 units Side Length; 8 Number of Sides Number of Sides13.06563 units
10 units Side Length; 10 Number of Sides Number of Sides16.18034 units
10 units Side Length; 12 Number of Sides Number of Sides19.318517 units
10 units Side Length; 20 Number of Sides Number of Sides31.962266 units
20 units Side Length; 3 Number of Sides Number of Sides11.547005 units
20 units Side Length; 4 Number of Sides Number of Sides14.142136 units
20 units Side Length; 5 Number of Sides Number of Sides17.013016 units
20 units Side Length; 6 Number of Sides Number of Sides20 units
20 units Side Length; 8 Number of Sides Number of Sides26.131259 units
20 units Side Length; 10 Number of Sides Number of Sides32.36068 units
20 units Side Length; 12 Number of Sides Number of Sides38.637033 units
20 units Side Length; 20 Number of Sides Number of Sides63.924532 units
50 units Side Length; 3 Number of Sides Number of Sides28.867513 units
50 units Side Length; 4 Number of Sides Number of Sides35.355339 units
50 units Side Length; 5 Number of Sides Number of Sides42.53254 units
50 units Side Length; 6 Number of Sides Number of Sides50 units
50 units Side Length; 8 Number of Sides Number of Sides65.328148 units
50 units Side Length; 10 Number of Sides Number of Sides80.901699 units
50 units Side Length; 12 Number of Sides Number of Sides96.592583 units
50 units Side Length; 20 Number of Sides Number of Sides159.811331 units

Frequently Asked Questions

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

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

It helps with finding radius of the circumscribed circle around a regular polygon.

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

Circumradius = side / [2 sin(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 radius of the circumscribed circle around a regular polygon

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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