Number of Diagonals in N-Sided Polygon Calculator

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✖Value of N is any natural number or positive integer that can be used for combinatorial calculations.ⓘ Value of N [n]

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✖Number of Diagonals is the total number of straight lines joining two opposite corners of a polygon.ⓘ Number of Diagonals in N-Sided Polygon [N_Diagonals]

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Formula

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Number of Diagonals in N-Sided Polygon

Formula

`"N"_{"Diagonals"} = C("n",2)-"n"`

Example

`"20"=C("8",2)-"8"`

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Number of Diagonals in N-Sided Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Diagonals = C(Value of N,2)-Value of N
N_Diagonals = C(n,2)-n
This formula uses 1 Functions, 2 Variables

Functions Used

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., C(n,k)

Variables Used

Number of Diagonals - Number of Diagonals is the total number of straight lines joining two opposite corners of a polygon.
Value of N - Value of N is any natural number or positive integer that can be used for combinatorial calculations.

STEP 1: Convert Input(s) to Base Unit

Value of N: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_Diagonals = C(n,2)-n --> C(8,2)-8

Evaluating ... ...

N_Diagonals = 20

STEP 3: Convert Result to Output's Unit

20 --> No Conversion Required

FINAL ANSWER

20 <-- Number of Diagonals

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 8 Geometric Combinatorics Calculators

Number of Rectangles in Grid

Go Number of Rectangles = C(Number of Horizontal Lines+1,2)*C(Number of Vertical Lines+1,2)

Number of Rectangles formed by Number of Horizontal and Vertical Lines

Go Number of Rectangles = C(Number of Horizontal Lines,2)*C(Number of Vertical Lines,2)

Number of Straight Lines formed by joining N Points out of which M are Collinear

Go Number of Straight Lines = C(Value of N,2)-C(Value of M,2)+1

Number of Triangles formed by joining N Points out of which M are Collinear

Go Number of Triangles = C(Value of N,3)-C(Value of M,3)

Number of Diagonals in N-Sided Polygon

Go Number of Diagonals = C(Value of N,2)-Value of N

Number of Straight Lines formed by joining N Non-Collinear Points

Go Number of Straight Lines = C(Value of N,2)

Number of Triangles formed by joining N Non-Collinear Points

Go Number of Triangles = C(Value of N,3)

Number of Chords formed by joining N Points on Circle

Go Number of Chords = C(Value of N,2)

Number of Diagonals in N-Sided Polygon Formula

Number of Diagonals = C(Value of N,2)-Value of N
N_Diagonals = C(n,2)-n

What are Combinations?

In combinatorics, Combinations refer to the different ways of selecting a subset of items from a larger set without regard to the order of selection. Combinations are used to count the number of possible outcomes when the order of selection does not matter. For example, if you have a set of three elements {A, B, C}, the Combinations of size 2 would be {AB, AC, BC}. In this case, the order of the items within each combination does not matter, so {AB} and {BA} are considered the same combination.

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

Number of Diagonals in N-Sided Polygon calculator uses Number of Diagonals = C(Value of N,2)-Value of N to calculate 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 N_Diagonals symbol.

How to calculate Number of Diagonals in N-Sided Polygon using this online calculator? To use this online calculator for Number of Diagonals in N-Sided Polygon, enter Value of N (n) and hit the calculate button. Here is how the Number of Diagonals in N-Sided Polygon calculation can be explained with given input values -> 14 = C(8,2)-8.

FAQ

What is Number of Diagonals in N-Sided Polygon?

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 and is represented as N_Diagonals = C(n,2)-n or Number of Diagonals = C(Value of N,2)-Value of N. Value of N is any natural number or positive integer that can be used for combinatorial calculations.

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

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 is calculated using Number of Diagonals = C(Value of N,2)-Value of N. To calculate Number of Diagonals in N-Sided Polygon, you need Value of N (n). With our tool, you need to enter the respective value for Value of N and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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