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Regular Polygon Side from Circumradius and Count Reference Values

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

Author

Dr. Fatima Al-Rashidi

Math editorial contributor

Kuwaiti epidemiologist trained at Johns Hopkins, leading WHO initiatives on maternal health in the Gulf region

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 56 reference values for quick browsing and lookup.

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All Reference Values

Reference Table

Regular Polygon Side from Circumradius and Count reference values
ScenarioSide Length
0.5 units Circumradius; 3 Number of Sides Number of Sides0.866025 units
0.5 units Circumradius; 4 Number of Sides Number of Sides0.707107 units
0.5 units Circumradius; 5 Number of Sides Number of Sides0.587785 units
0.5 units Circumradius; 6 Number of Sides Number of Sides0.5 units
0.5 units Circumradius; 8 Number of Sides Number of Sides0.382683 units
0.5 units Circumradius; 10 Number of Sides Number of Sides0.309017 units
0.5 units Circumradius; 12 Number of Sides Number of Sides0.258819 units
0.5 units Circumradius; 20 Number of Sides Number of Sides0.156434 units
1 units Circumradius; 3 Number of Sides Number of Sides1.732051 units
1 units Circumradius; 4 Number of Sides Number of Sides1.414214 units
1 units Circumradius; 5 Number of Sides Number of Sides1.175571 units
1 units Circumradius; 6 Number of Sides Number of Sides1 units
1 units Circumradius; 8 Number of Sides Number of Sides0.765367 units
1 units Circumradius; 10 Number of Sides Number of Sides0.618034 units
1 units Circumradius; 12 Number of Sides Number of Sides0.517638 units
1 units Circumradius; 20 Number of Sides Number of Sides0.312869 units
2 units Circumradius; 3 Number of Sides Number of Sides3.464102 units
2 units Circumradius; 4 Number of Sides Number of Sides2.828427 units
2 units Circumradius; 5 Number of Sides Number of Sides2.351141 units
2 units Circumradius; 6 Number of Sides Number of Sides2 units
2 units Circumradius; 8 Number of Sides Number of Sides1.530734 units
2 units Circumradius; 10 Number of Sides Number of Sides1.236068 units
2 units Circumradius; 12 Number of Sides Number of Sides1.035276 units
2 units Circumradius; 20 Number of Sides Number of Sides0.625738 units
5 units Circumradius; 3 Number of Sides Number of Sides8.660254 units
5 units Circumradius; 4 Number of Sides Number of Sides7.071068 units
5 units Circumradius; 5 Number of Sides Number of Sides5.877853 units
5 units Circumradius; 6 Number of Sides Number of Sides5 units
5 units Circumradius; 8 Number of Sides Number of Sides3.826834 units
5 units Circumradius; 10 Number of Sides Number of Sides3.09017 units
5 units Circumradius; 12 Number of Sides Number of Sides2.58819 units
5 units Circumradius; 20 Number of Sides Number of Sides1.564345 units
10 units Circumradius; 3 Number of Sides Number of Sides17.320508 units
10 units Circumradius; 4 Number of Sides Number of Sides14.142136 units
10 units Circumradius; 5 Number of Sides Number of Sides11.755705 units
10 units Circumradius; 6 Number of Sides Number of Sides10 units
10 units Circumradius; 8 Number of Sides Number of Sides7.653669 units
10 units Circumradius; 10 Number of Sides Number of Sides6.18034 units
10 units Circumradius; 12 Number of Sides Number of Sides5.176381 units
10 units Circumradius; 20 Number of Sides Number of Sides3.128689 units
20 units Circumradius; 3 Number of Sides Number of Sides34.641016 units
20 units Circumradius; 4 Number of Sides Number of Sides28.284271 units
20 units Circumradius; 5 Number of Sides Number of Sides23.51141 units
20 units Circumradius; 6 Number of Sides Number of Sides20 units
20 units Circumradius; 8 Number of Sides Number of Sides15.307337 units
20 units Circumradius; 10 Number of Sides Number of Sides12.36068 units
20 units Circumradius; 12 Number of Sides Number of Sides10.352762 units
20 units Circumradius; 20 Number of Sides Number of Sides6.257379 units
50 units Circumradius; 3 Number of Sides Number of Sides86.60254 units
50 units Circumradius; 4 Number of Sides Number of Sides70.710678 units
50 units Circumradius; 5 Number of Sides Number of Sides58.778525 units
50 units Circumradius; 6 Number of Sides Number of Sides50 units
50 units Circumradius; 8 Number of Sides Number of Sides38.268343 units
50 units Circumradius; 10 Number of Sides Number of Sides30.901699 units
50 units Circumradius; 12 Number of Sides Number of Sides25.881905 units
50 units Circumradius; 20 Number of Sides Number of Sides15.643447 units

Frequently Asked Questions

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

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

It helps with deriving regular polygon side length from circumscribed-circle radius.

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

Side length = 2 × circumradius × sin(π/n).

What inputs are valid?

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

When would I use this?

deriving regular polygon side length from circumscribed-circle radius

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.