Sum of Exterior Angles of N-gon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon)
SumExterior Angles = 2*pi*(NSides/NSides)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Sum of Exterior Angles of N-gon - (Measured in Radian) - Sum of Exterior Angles of N-gon is defined as a number that is the addition of all the exterior angles of N sided Polygon.
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
SumExterior Angles = 2*pi*(NSides/NSides) --> 2*pi*(8/8)
Evaluating ... ...
SumExterior Angles = 6.28318530717959
STEP 3: Convert Result to Output's Unit
6.28318530717959 Radian -->360.000000000068 Degree (Check conversion ​here)
FINAL ANSWER
360.000000000068 360 Degree <-- Sum of Exterior Angles of N-gon
(Calculation completed in 00.004 seconds)

Credits

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Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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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

Sum of Exterior Angles of N-gon Formula

Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon)
SumExterior Angles = 2*pi*(NSides/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 Sum of Exterior Angles of N-gon?

Sum of Exterior Angles of N-gon calculator uses Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon) to calculate the Sum of Exterior Angles of N-gon, Sum of exterior angles of N-gon is equal to 360 degrees always and remains unaffected by the total number of sides. Sum of Exterior Angles of N-gon is denoted by SumExterior Angles symbol.

How to calculate Sum of Exterior Angles of N-gon using this online calculator? To use this online calculator for Sum of Exterior Angles of N-gon, enter Number of Sides of N-gon (NSides) and hit the calculate button. Here is how the Sum of Exterior Angles of N-gon calculation can be explained with given input values -> 20626.48 = 2*pi*(8/8).

FAQ

What is Sum of Exterior Angles of N-gon?
Sum of exterior angles of N-gon is equal to 360 degrees always and remains unaffected by the total number of sides and is represented as SumExterior Angles = 2*pi*(NSides/NSides) or Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of 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.
How to calculate Sum of Exterior Angles of N-gon?
Sum of exterior angles of N-gon is equal to 360 degrees always and remains unaffected by the total number of sides is calculated using Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon). To calculate Sum of Exterior Angles 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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