Sum of Exterior Angles 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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✖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.ⓘ Sum of Exterior Angles of N-gon [Sum_{Exterior Angles}]

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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)
Sum_{Exterior Angles} = 2*pi*(N_Sides/N_Sides)
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

Sum_{Exterior Angles} = 2*pi*(N_Sides/N_Sides) --> 2*pi*(8/8)

Evaluating ... ...

Sum_{Exterior 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)

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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

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

Sum of Exterior Angles of N-gon Formula

LaTeX Go

Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon)
Sum_{Exterior Angles} = 2*pi*(N_Sides/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 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 Sum_{Exterior 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 (N_Sides) 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 Sum_{Exterior Angles} = 2*pi*(N_Sides/N_Sides) 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 (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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