Convertools

Regular Polygon Side from Area and Count

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

Author

Dr. Lucia Fernandez Vega

Math editorial contributor

Argentine astrophysicist from the University of Buenos Aires, contributing to exoplanet detection with the James Webb telescope

Reviewed by

Dr. Emeka Nwosu

Math content reviewer

Nigerian legal scholar with an SJD from Yale, focused on international trade law and African continental free trade agreements

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

20 sq units Area; 8 Number of Sides Number of Sides =

2.035224 units

Representative value from the Regular Polygon Side from Area and Count reference table.

Reference Values

Browse 72 reference values with individual detail pages for quick lookup.

Browse all reference values

Regular Polygon Side from Area and Count

Calculate side length of a regular polygon from area 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 Side from Area and Count Reference
ScenarioSide Length
1 sq units Area; 3 Number of Sides Number of Sides1.519671 units
1 sq units Area; 4 Number of Sides Number of Sides1 units
1 sq units Area; 5 Number of Sides Number of Sides0.762387 units
1 sq units Area; 6 Number of Sides Number of Sides0.620403 units
1 sq units Area; 8 Number of Sides Number of Sides0.45509 units
1 sq units Area; 10 Number of Sides Number of Sides0.360511 units
1 sq units Area; 12 Number of Sides Number of Sides0.298858 units
1 sq units Area; 20 Number of Sides Number of Sides0.17798 units
2 sq units Area; 3 Number of Sides Number of Sides2.14914 units
2 sq units Area; 4 Number of Sides Number of Sides1.414214 units
2 sq units Area; 5 Number of Sides Number of Sides1.078178 units
2 sq units Area; 6 Number of Sides Number of Sides0.877383 units
2 sq units Area; 8 Number of Sides Number of Sides0.643594 units
2 sq units Area; 10 Number of Sides Number of Sides0.509839 units
2 sq units Area; 12 Number of Sides Number of Sides0.42265 units
2 sq units Area; 20 Number of Sides Number of Sides0.251702 units
5 sq units Area; 3 Number of Sides Number of Sides3.398088 units
5 sq units Area; 4 Number of Sides Number of Sides2.236068 units
5 sq units Area; 5 Number of Sides Number of Sides1.704749 units
5 sq units Area; 6 Number of Sides Number of Sides1.387264 units
5 sq units Area; 8 Number of Sides Number of Sides1.017612 units
5 sq units Area; 10 Number of Sides Number of Sides0.806126 units
5 sq units Area; 12 Number of Sides Number of Sides0.668268 units
5 sq units Area; 20 Number of Sides Number of Sides0.397975 units
10 sq units Area; 3 Number of Sides Number of Sides4.805623 units
10 sq units Area; 4 Number of Sides Number of Sides3.162278 units
10 sq units Area; 5 Number of Sides Number of Sides2.41088 units
10 sq units Area; 6 Number of Sides Number of Sides1.961887 units
10 sq units Area; 8 Number of Sides Number of Sides1.43912 units
10 sq units Area; 10 Number of Sides Number of Sides1.140035 units
10 sq units Area; 12 Number of Sides Number of Sides0.945074 units
10 sq units Area; 20 Number of Sides Number of Sides0.562822 units
20 sq units Area; 3 Number of Sides Number of Sides6.796177 units
20 sq units Area; 4 Number of Sides Number of Sides4.472136 units
20 sq units Area; 5 Number of Sides Number of Sides3.409499 units
20 sq units Area; 6 Number of Sides Number of Sides2.774528 units
20 sq units Area; 8 Number of Sides Number of Sides2.035224 units
20 sq units Area; 10 Number of Sides Number of Sides1.612252 units
20 sq units Area; 12 Number of Sides Number of Sides1.336536 units
20 sq units Area; 20 Number of Sides Number of Sides0.795951 units
50 sq units Area; 3 Number of Sides Number of Sides10.745699 units
50 sq units Area; 4 Number of Sides Number of Sides7.071068 units
50 sq units Area; 5 Number of Sides Number of Sides5.390891 units
50 sq units Area; 6 Number of Sides Number of Sides4.386913 units
50 sq units Area; 8 Number of Sides Number of Sides3.217971 units
50 sq units Area; 10 Number of Sides Number of Sides2.549195 units
50 sq units Area; 12 Number of Sides Number of Sides2.113249 units
50 sq units Area; 20 Number of Sides Number of Sides1.258509 units
100 sq units Area; 3 Number of Sides Number of Sides15.196714 units
100 sq units Area; 4 Number of Sides Number of Sides10 units
100 sq units Area; 5 Number of Sides Number of Sides7.623871 units
100 sq units Area; 6 Number of Sides Number of Sides6.204032 units
100 sq units Area; 8 Number of Sides Number of Sides4.550899 units
100 sq units Area; 10 Number of Sides Number of Sides3.605106 units
100 sq units Area; 12 Number of Sides Number of Sides2.988585 units
100 sq units Area; 20 Number of Sides Number of Sides1.7798 units
200 sq units Area; 3 Number of Sides Number of Sides21.491399 units
200 sq units Area; 4 Number of Sides Number of Sides14.142136 units
200 sq units Area; 5 Number of Sides Number of Sides10.781781 units
200 sq units Area; 6 Number of Sides Number of Sides8.773827 units
200 sq units Area; 8 Number of Sides Number of Sides6.435943 units
200 sq units Area; 10 Number of Sides Number of Sides5.09839 units
200 sq units Area; 12 Number of Sides Number of Sides4.226497 units
200 sq units Area; 20 Number of Sides Number of Sides2.517018 units
500 sq units Area; 3 Number of Sides Number of Sides33.980885 units
500 sq units Area; 4 Number of Sides Number of Sides22.36068 units
500 sq units Area; 5 Number of Sides Number of Sides17.047493 units
500 sq units Area; 6 Number of Sides Number of Sides13.872638 units
500 sq units Area; 8 Number of Sides Number of Sides10.176119 units
500 sq units Area; 10 Number of Sides Number of Sides8.061262 units
500 sq units Area; 12 Number of Sides Number of Sides6.682679 units
500 sq units Area; 20 Number of Sides Number of Sides3.979754 units

Frequently Asked Questions

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

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

It helps with recovering regular polygon side length from known area and side count.

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

From A = (n s²)/(4 tan(π/n)), side = √[(4A tan(π/n))/n].

What inputs are valid?

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

When would I use this?

recovering regular polygon side length from known area and side count

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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