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Sum of Exterior Angles of N-gon Formula

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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. Check FAQs

Sum Exterior Angles = 2 \cdot π \cdot (\frac{N Sides}{N Sides})

Sum_{Exterior Angles} - Sum of Exterior Angles of N-gon?N_Sides - Number of Sides of N-gon?π - Archimedes' constant?

Sum of Exterior Angles of N-gon Example

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Here is how the Sum of Exterior Angles of N-gon equation looks like with Values.

Here is how the Sum of Exterior Angles of N-gon equation looks like with Units.

Here is how the Sum of Exterior Angles of N-gon equation looks like.

360 = 2 \cdot 3.1416 \cdot (\frac{8}{8})

360° = 2 \cdot 3.1416 \cdot (\frac{8}{8})

360 = 2 \cdot 3.1416 \cdot (\frac{8}{8})

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Sum of Exterior Angles of N-gon Solution

Follow our step by step solution on how to calculate Sum of Exterior Angles of N-gon?

FIRST Step Consider the formula

Sum Exterior Angles = 2 \cdot π \cdot (\frac{N Sides}{N Sides})

Next Step Substitute values of Variables

∴

Sum Exterior Angles = 2 \cdot π \cdot (\frac{8}{8})

Next Step Substitute values of Constants

∴

Sum Exterior Angles = 2 \cdot 3.1416 \cdot (\frac{8}{8})

Next Step Prepare to Evaluate

∴

Sum Exterior Angles = 2 \cdot 3.1416 \cdot (\frac{8}{8})

Next Step Evaluate

∴

Sum Exterior Angles = 6.28318530717959rad

Next Step Convert to Output's Unit

∴

Sum Exterior Angles = 360.000000000068°

LAST Step Rounding Answer

∴

Sum Exterior Angles = 360°

Sum of Exterior Angles of N-gon Formula Elements

Variables

Constants

Sum of Exterior Angles of N-gon

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.

Symbol: Sum_{Exterior Angles}

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Sum of Exterior Angles 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.

Symbol: N_Sides

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of N-gon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Angles of N gon category

Go Sum of Interior Angles of N-gon

Sum Interior Angles = (N Sides - 2) \cdot π

Go Exterior Angle of N-gon

∠ Exterior = \frac{2 \cdot π}{N Sides}

Go Central Angle of N-gon

∠ Central = \frac{2 \cdot π}{N Sides}

How to Evaluate Sum of Exterior Angles of N-gon?

Sum of Exterior Angles of N-gon evaluator uses Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon) to evaluate 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 evaluate Sum of Exterior Angles of N-gon using this online evaluator? To use this online evaluator for Sum of Exterior Angles of N-gon, enter Number of Sides of N-gon (N_Sides) and hit the calculate button.

FAQs on Sum of Exterior Angles of N-gon

What is the formula to find Sum of Exterior Angles of N-gon?

The formula of Sum of Exterior Angles of N-gon is expressed as Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon). Here is an example- 20626.48 = 2*pi*(8/8).

How to calculate Sum of Exterior Angles of N-gon?

With Number of Sides of N-gon (N_Sides) we can find Sum of Exterior Angles of N-gon using the formula - Sum of Exterior Angles of N-gon = 2*pi*(Number of Sides of N-gon/Number of Sides of N-gon). This formula also uses Archimedes' constant .

Can the Sum of Exterior Angles of N-gon be negative?

No, the Sum of Exterior Angles of N-gon, measured in Angle cannot be negative.

Which unit is used to measure Sum of Exterior Angles of N-gon?

Sum of Exterior Angles of N-gon is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Sum of Exterior Angles of N-gon can be measured.

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