FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Diagonals in N-Sided Polygon Formula

Fx Copy
LaTeX Copy
Number of Diagonals is the total number of straight lines joining two opposite corners of a polygon. Check FAQs
NDiagonals=C(n,2)-n
NDiagonals - Number of Diagonals?n - Value of N?

Number of Diagonals in N-Sided Polygon Example

With values
With units
Only example

Here is how the Number of Diagonals in N-Sided Polygon equation looks like with Values.

Here is how the Number of Diagonals in N-Sided Polygon equation looks like with Units.

Here is how the Number of Diagonals in N-Sided Polygon equation looks like.

20Edit=C(8Edit,2)-8Edit
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Math » Category Combinatorics » Category Combinations » fx Number of Diagonals in N-Sided Polygon

Number of Diagonals in N-Sided Polygon Solution

Follow our step by step solution on how to calculate Number of Diagonals in N-Sided Polygon?

FIRST Step Consider the formula
NDiagonals=C(n,2)-n
Next Step Substitute values of Variables
∴ NDiagonals=C(8,2)-8
Next Step Prepare to Evaluate
∴ NDiagonals=C(8,2)-8
LAST Step Evaluate
∴NDiagonals=20

Number of Diagonals in N-Sided Polygon Formula Elements

Variables
Functions
Number of Diagonals
Number of Diagonals is the total number of straight lines joining two opposite corners of a polygon.
Symbol: NDiagonals
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Number of DiagonalsOpen Variable
Value of N
Value of N is any natural number or positive integer that can be used for combinatorial calculations.
Symbol: n
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Value of NOpen Variable
C
In combinatorics, the binomial coefficient is a way to represent the number of ways to choose a subset of objects from a larger set. It is also known as the "n choose k" tool.
Syntax: C(n,k)

Credits

Creator Image
Created by Diwanshi Jain LinkedIn Logo
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
Diwanshi Jain has created this Formula and 300+ more formulas!
Verifier Image
Verified by Dhruv Walia LinkedIn Logo
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has verified this Formula and 400+ more formulas!

Other formulas in Geometric Combinatorics category

​Go Number of Chords formed by joining N Points on Circle
NChords=C(n,2)
​Go Number of Rectangles in Grid
NRectangles=C(NHorizontal Lines+1,2)⋅C(NVertical Lines+1,2)
​Go Number of Triangles formed by joining N Non-Collinear Points
NTriangles=C(n,3)
​Go Number of Rectangles formed by Number of Horizontal and Vertical Lines
NRectangles=C(NHorizontal Lines,2)⋅C(NVertical Lines,2)

How to Evaluate Number of Diagonals in N-Sided Polygon?

Number of Diagonals in N-Sided Polygon evaluator uses Number of Diagonals = C(Value of N,2)-Value of N to evaluate the Number of Diagonals, The Number of Diagonals in N-Sided Polygon formula is defined as the total number of straight lines joining two opposite corners of an N-Sided Polygon. Number of Diagonals is denoted by NDiagonals symbol.

How to evaluate Number of Diagonals in N-Sided Polygon using this online evaluator? To use this online evaluator for Number of Diagonals in N-Sided Polygon, enter Value of N (n) and hit the calculate button.

FAQs on Number of Diagonals in N-Sided Polygon

What is the formula to find Number of Diagonals in N-Sided Polygon?
The formula of Number of Diagonals in N-Sided Polygon is expressed as Number of Diagonals = C(Value of N,2)-Value of N. Here is an example- 14 = C(8,2)-8.
How to calculate Number of Diagonals in N-Sided Polygon?
With Value of N (n) we can find Number of Diagonals in N-Sided Polygon using the formula - Number of Diagonals = C(Value of N,2)-Value of N. This formula also uses Binomial Coefficient (C) function(s).
© 2024-2025. Developed & Maintained by softUsvista Inc.
Copied!