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Number of Diagonals in N-Sided Polygon Formula

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Number of Diagonals is the total number of straight lines joining two opposite corners of a polygon. Check FAQs

N Diagonals = C (n, 2) - n

N_Diagonals - Number of Diagonals?n - Value of N?

Number of Diagonals in N-Sided Polygon Example

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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.

20 = C (8, 2) - 8

20 = C (8, 2) - 8

20 = C (8, 2) - 8

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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

N Diagonals = C (n, 2) - n

Next Step Substitute values of Variables

∴

N Diagonals = C (8, 2) - 8

Next Step Prepare to Evaluate

∴

N Diagonals = C (8, 2) - 8

LAST Step Evaluate

∴

N Diagonals = 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: N_Diagonals

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Diagonals

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 N

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)

Other formulas in Geometric Combinatorics category

Go Number of Chords formed by joining N Points on Circle

N Chords = C (n, 2)

Go Number of Rectangles in Grid

N Rectangles = C (N Horizontal Lines + 1, 2) \cdot C (N Vertical Lines + 1, 2)

Go Number of Triangles formed by joining N Non-Collinear Points

N Triangles = C (n, 3)

Go Number of Rectangles formed by Number of Horizontal and Vertical Lines

N Rectangles = C (N Horizontal Lines, 2) \cdot C (N Vertical 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 N_Diagonals 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).

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