Number of Diagonals of N-gon Calculator

✖Number of Sides of N-gon is the number of line segments required to make a N-gon.ⓘ Number of Sides of N-gon [N_Sides]

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✖Number of Diagonals of N-gon are the total number of diagonal possesed by the N-gon.ⓘ Number of Diagonals of N-gon [N_Diagonals]

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Number of Diagonals of N-gon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2
N_Diagonals = (N_Sides*(N_Sides-3))/2
This formula uses 2 Variables

Variables Used

Number of Diagonals of N-gon - Number of Diagonals of N-gon are the total number of diagonal possesed by the N-gon.
Number of Sides of N-gon - Number of Sides of N-gon is the number of line segments required to make a N-gon.

STEP 1: Convert Input(s) to Base Unit

Number of Sides of N-gon: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_Diagonals = (N_Sides*(N_Sides-3))/2 --> (8*(8-3))/2

Evaluating ... ...

N_Diagonals = 20

STEP 3: Convert Result to Output's Unit

20 --> No Conversion Required

FINAL ANSWER

20 <-- Number of Diagonals of N-gon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Diagonals of N gon Calculators

Diagonal across M sides of N-gon

LaTeX Go Diagonal across M Sides of N-gon = (Edge Length of N-gon*sin(pi*M Number of Sides of N-gon/Number of Sides of N-gon))/(sin(pi/Number of Sides of N-gon))

Number of Diagonals of N-gon

LaTeX Go Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2

Number of Diagonals of N-gon Formula

LaTeX Go

Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2
N_Diagonals = (N_Sides*(N_Sides-3))/2

What is N-gon?

N-gon is a polygon with N sides and N vertices. An n-gon, can be either convex or concave. A convex polygon has none of its interior angles greater than 180°. On the contrary, a concave polygon has one or more of its interior angles greater than 180°. A polygon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Number of Diagonals of N-gon?

Number of Diagonals of N-gon calculator uses Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2 to calculate the Number of Diagonals of N-gon, The Number of diagonals of N-gon formula is defined as the number of lines joined by some pair of non-adjacent vertices of the N-gon. Number of Diagonals of N-gon is denoted by N_Diagonals symbol.

How to calculate Number of Diagonals of N-gon using this online calculator? To use this online calculator for Number of Diagonals of N-gon, enter Number of Sides of N-gon (N_Sides) and hit the calculate button. Here is how the Number of Diagonals of N-gon calculation can be explained with given input values -> 20 = (8*(8-3))/2.

FAQ

What is Number of Diagonals of N-gon?

The Number of diagonals of N-gon formula is defined as the number of lines joined by some pair of non-adjacent vertices of the N-gon and is represented as N_Diagonals = (N_Sides*(N_Sides-3))/2 or Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2. Number of Sides of N-gon is the number of line segments required to make a N-gon.

How to calculate Number of Diagonals of N-gon?

The Number of diagonals of N-gon formula is defined as the number of lines joined by some pair of non-adjacent vertices of the N-gon is calculated using Number of Diagonals of N-gon = (Number of Sides of N-gon*(Number of Sides of N-gon-3))/2. To calculate Number of Diagonals of N-gon, you need Number of Sides of N-gon (N_Sides). With our tool, you need to enter the respective value for Number of Sides of N-gon 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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