Exterior Angle of N-gon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exterior Angle of N-gon = (2*pi)/Number of Sides of N-gon
Exterior = (2*pi)/NSides
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Exterior Angle of N-gon - (Measured in Radian) - Exterior Angle of N-gon is the angle between one side of the N-gon and the line extending from the next side.
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
Exterior = (2*pi)/NSides --> (2*pi)/8
Evaluating ... ...
Exterior = 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 <-- Exterior Angle of N-gon
(Calculation completed in 00.004 seconds)

Credits

Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
Anamika Mittal has created this Calculator and 50+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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4 Angles of N-gon Calculators

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

Exterior Angle of N-gon Formula

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

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 Exterior Angle of N-gon?

Exterior Angle of N-gon calculator uses Exterior Angle of N-gon = (2*pi)/Number of Sides of N-gon to calculate the Exterior Angle of N-gon, Exterior Angle of N-gon is defined as the angle between one side of the N-gon and the line extending from the next side. Exterior Angle of N-gon is denoted by Exterior symbol.

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

FAQ

What is Exterior Angle of N-gon?
Exterior Angle of N-gon is defined as the angle between one side of the N-gon and the line extending from the next side and is represented as Exterior = (2*pi)/NSides or Exterior 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 Exterior Angle of N-gon?
Exterior Angle of N-gon is defined as the angle between one side of the N-gon and the line extending from the next side is calculated using Exterior Angle of N-gon = (2*pi)/Number of Sides of N-gon. To calculate Exterior Angle of N-gon, you need Number of Sides of N-gon (NSides). 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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