Polygon Interior Angle Sum from Sides

Calculate the sum of interior angles in a polygon from the number of sides.

Author

Dr. Lars Eriksson

Math editorial contributor

Swedish environmental economist from Stockholm School of Economics, advisor to the EU on carbon pricing policy

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

20 Number of Sides =

3,240 deg

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

Reference Values

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

Browse all reference values

Polygon Interior Angle Sum from Sides

Calculate the sum of interior angles in a polygon from the number of sides.

Calculated Result

Reference Table

Use this complete table for quick lookup and internal linking to specific value pages.

Polygon Interior Angle Sum from Sides Reference
Number of SidesInterior Angle Sum
3 Number of Sides180 deg
4 Number of Sides360 deg
5 Number of Sides540 deg
6 Number of Sides720 deg
7 Number of Sides900 deg
8 Number of Sides1,080 deg
9 Number of Sides1,260 deg
10 Number of Sides1,440 deg
12 Number of Sides1,800 deg
15 Number of Sides2,340 deg
20 Number of Sides3,240 deg
24 Number of Sides3,960 deg
30 Number of Sides5,040 deg
40 Number of Sides6,840 deg
50 Number of Sides8,640 deg
60 Number of Sides10,440 deg
100 Number of Sides17,640 deg
180 Number of Sides32,040 deg
360 Number of Sides64,440 deg
720 Number of Sides129,240 deg

Frequently Asked Questions

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

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

It helps with finding total interior angle sums in polygon geometry and shape analysis.

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

Sum of interior angles = (n - 2) × 180°.

What inputs are valid?

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

When would I use this?

finding total interior angle sums in polygon geometry and shape analysis

Methodology and Review

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