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Regular Polygon Interior Angle from Sides

Calculate the interior angle of a regular polygon from the number of sides.

Author

Prof. Chen Wei

Math editorial contributor

Chinese AI ethics researcher at Tsinghua University, publishing extensively on algorithmic bias in hiring systems

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 Number of Sides =

162 deg

Representative value from the Regular Polygon Interior Angle from Sides reference table.

Reference Values

Browse 20 reference values with individual detail pages for quick lookup.

Browse all reference values

Regular Polygon Interior Angle from Sides

Calculate the interior angle of a regular polygon from the 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 Interior Angle from Sides Reference
Number of SidesInterior Angle
3 Number of Sides60 deg
4 Number of Sides90 deg
5 Number of Sides108 deg
6 Number of Sides120 deg
7 Number of Sides128.571429 deg
8 Number of Sides135 deg
9 Number of Sides140 deg
10 Number of Sides144 deg
12 Number of Sides150 deg
15 Number of Sides156 deg
20 Number of Sides162 deg
24 Number of Sides165 deg
30 Number of Sides168 deg
40 Number of Sides171 deg
50 Number of Sides172.8 deg
60 Number of Sides174 deg
100 Number of Sides176.4 deg
180 Number of Sides178 deg
360 Number of Sides179 deg
720 Number of Sides179.5 deg

Frequently Asked Questions

Common questions about Regular Polygon Interior Angle from Sides, formulas, and typical use cases.

What does the Regular Polygon Interior Angle from Sides calculator do?

It helps with finding interior angles for regular polygon geometry and drafting.

What formula does the Regular Polygon Interior Angle from Sides calculator use?

Regular polygon interior angle = ((n - 2) × 180) / n.

What inputs are valid?

The number of sides must be an integer greater than or equal to 3.

When would I use this?

finding interior angles for regular polygon geometry and drafting

Methodology and Review

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