Central Angle 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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✖Central Angle of N-gon is the angle made at the center by any two adjacent vertices of the N-gon.ⓘ Central Angle of N-gon [∠_Central]

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Central Angle of N-gon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Angle of N-gon = (2*pi)/Number of Sides of N-gon
∠_Central = (2*pi)/N_Sides
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Central Angle of N-gon - (Measured in Radian) - Central Angle of N-gon is the angle made at the center by any two adjacent vertices of 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

∠_Central = (2*pi)/N_Sides --> (2*pi)/8

Evaluating ... ...

∠_Central = 0.785398163397448

STEP 3: Convert Result to Output's Unit

0.785398163397448 Radian -->45.0000000000085 Degree (Check conversion here)

FINAL ANSWER

45.0000000000085 ≈ 45 Degree <-- Central Angle of N-gon

(Calculation completed in 00.004 seconds)

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Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< Angles of N gon Calculators

Sum of Exterior Angles of N-gon

LaTeX Go Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon)

Sum of Interior Angles of N-gon

LaTeX Go Sum of Interior Angles of N-gon = (Number of Sides of N-gon-2)*pi

Exterior Angle of N-gon

LaTeX Go Exterior Angle of N-gon = (2*pi)/Number of Sides of N-gon

Central Angle of N-gon

LaTeX Go Central Angle of N-gon = (2*pi)/Number of Sides of N-gon

Central Angle of N-gon Formula

LaTeX Go

Central Angle of N-gon = (2*pi)/Number of Sides of N-gon
∠_Central = (2*pi)/N_Sides

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 Central Angle of N-gon?

Central Angle of N-gon calculator uses Central Angle of N-gon = (2*pi)/Number of Sides of N-gon to calculate the Central Angle of N-gon, The Central angle of N-gon formula is defined as the angle made at the center of the N-gon by any two adjacent vertices. Central Angle of N-gon is denoted by ∠_Central symbol.

How to calculate Central Angle of N-gon using this online calculator? To use this online calculator for Central Angle of N-gon, enter Number of Sides of N-gon (N_Sides) and hit the calculate button. Here is how the Central Angle of N-gon calculation can be explained with given input values -> 2578.31 = (2*pi)/8.

FAQ

What is Central Angle of N-gon?

The Central angle of N-gon formula is defined as the angle made at the center of the N-gon by any two adjacent vertices and is represented as ∠_Central = (2*pi)/N_Sides or Central Angle of N-gon = (2*pi)/Number of Sides of N-gon. Number of Sides of N-gon is the number of line segments required to make a N-gon.

How to calculate Central Angle of N-gon?

The Central angle of N-gon formula is defined as the angle made at the center of the N-gon by any two adjacent vertices is calculated using Central Angle of N-gon = (2*pi)/Number of Sides of N-gon. To calculate Central Angle 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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