Polygon Diagonals from Sides Reference Values
Calculate the number of diagonals in a polygon from the number of sides.
Table of Contents
Reference Value Index
This page lists 20 reference values for quick browsing and lookup.
All Reference Values
- 3 Number of Sides = 0 Diagonal Count
- 4 Number of Sides = 2 Diagonal Count
- 5 Number of Sides = 5 Diagonal Count
- 6 Number of Sides = 9 Diagonal Count
- 7 Number of Sides = 14 Diagonal Count
- 8 Number of Sides = 20 Diagonal Count
- 9 Number of Sides = 27 Diagonal Count
- 10 Number of Sides = 35 Diagonal Count
- 12 Number of Sides = 54 Diagonal Count
- 15 Number of Sides = 90 Diagonal Count
- 20 Number of Sides = 170 Diagonal Count
- 24 Number of Sides = 252 Diagonal Count
- 30 Number of Sides = 405 Diagonal Count
- 40 Number of Sides = 740 Diagonal Count
- 50 Number of Sides = 1,175 Diagonal Count
- 60 Number of Sides = 1,710 Diagonal Count
- 100 Number of Sides = 4,850 Diagonal Count
- 180 Number of Sides = 15,930 Diagonal Count
- 360 Number of Sides = 64,260 Diagonal Count
- 720 Number of Sides = 258,120 Diagonal Count
Reference Table
| Number of Sides | Diagonals |
|---|---|
| 3 Number of Sides | 0 Diagonal Count |
| 4 Number of Sides | 2 Diagonal Count |
| 5 Number of Sides | 5 Diagonal Count |
| 6 Number of Sides | 9 Diagonal Count |
| 7 Number of Sides | 14 Diagonal Count |
| 8 Number of Sides | 20 Diagonal Count |
| 9 Number of Sides | 27 Diagonal Count |
| 10 Number of Sides | 35 Diagonal Count |
| 12 Number of Sides | 54 Diagonal Count |
| 15 Number of Sides | 90 Diagonal Count |
| 20 Number of Sides | 170 Diagonal Count |
| 24 Number of Sides | 252 Diagonal Count |
| 30 Number of Sides | 405 Diagonal Count |
| 40 Number of Sides | 740 Diagonal Count |
| 50 Number of Sides | 1,175 Diagonal Count |
| 60 Number of Sides | 1,710 Diagonal Count |
| 100 Number of Sides | 4,850 Diagonal Count |
| 180 Number of Sides | 15,930 Diagonal Count |
| 360 Number of Sides | 64,260 Diagonal Count |
| 720 Number of Sides | 258,120 Diagonal Count |
Frequently Asked Questions
Frequently asked questions for Polygon Diagonals from Sides and its reference values.
What does the Polygon Diagonals from Sides calculator do?
It helps with counting diagonals in polygon geometry and combinatorics-style shape problems.
What formula does the Polygon Diagonals from Sides calculator use?
Polygon diagonals = n × (n - 3) / 2.
What inputs are valid?
The number of sides must be an integer greater than or equal to 3.
When would I use this?
counting diagonals in polygon geometry and combinatorics-style shape problems
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.