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Exterior Angle of Regular Polygon Formula

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The Exterior Angle of Regular Polygon is the angle between one side of the polygon and the line extending from the next side of the polygon. Check FAQs

∠ Exterior = \frac{2 \cdot π}{N S}

∠_Exterior - Exterior Angle of Regular Polygon?N_S - Number of Sides of Regular Polygon?π - Archimedes' constant?

Exterior Angle of Regular Polygon Example

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Here is how the Exterior Angle of Regular Polygon equation looks like with Values.

Here is how the Exterior Angle of Regular Polygon equation looks like with Units.

Here is how the Exterior Angle of Regular Polygon equation looks like.

45 = \frac{2 \cdot 3.1416}{8}

45° = \frac{2 \cdot 3.1416}{8}

45 = \frac{2 \cdot 3.1416}{8}

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Exterior Angle of Regular Polygon Solution

Follow our step by step solution on how to calculate Exterior Angle of Regular Polygon?

FIRST Step Consider the formula

∠ Exterior = \frac{2 \cdot π}{N S}

Next Step Substitute values of Variables

∴

∠ Exterior = \frac{2 \cdot π}{8}

Next Step Substitute values of Constants

∴

∠ Exterior = \frac{2 \cdot 3.1416}{8}

Next Step Prepare to Evaluate

∴

∠ Exterior = \frac{2 \cdot 3.1416}{8}

Next Step Evaluate

∴

∠ Exterior = 0.785398163397448rad

Next Step Convert to Output's Unit

∴

∠ Exterior = 45.0000000000085°

LAST Step Rounding Answer

∴

∠ Exterior = 45°

Exterior Angle of Regular Polygon Formula Elements

Variables

Constants

Exterior Angle of Regular Polygon

The Exterior Angle of Regular Polygon is the angle between one side of the polygon and the line extending from the next side of the polygon.

Symbol: ∠_Exterior

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Exterior Angle of Regular Polygon

Number of Sides of Regular Polygon

The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

Symbol: N_S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of Regular Polygon

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 Regular Polygon category

Go Interior Angle of Regular Polygon

∠ Interior = \frac{(N S - 2) \cdot π}{N S}

Go Interior Angle of Regular Polygon given Sum of Interior Angles

∠ Interior = \frac{Sum∠ Interior}{N S}

Go Sum of Interior Angles of Regular Polygon

Sum∠ Interior = (N S - 2) \cdot π

How to Evaluate Exterior Angle of Regular Polygon?

Exterior Angle of Regular Polygon evaluator uses Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon to evaluate the Exterior Angle of Regular Polygon, Exterior Angle of Regular Polygon formula is defined as the angle between one side of the polygon and the line extending from the next side of the Regular Polygon. Exterior Angle of Regular Polygon is denoted by ∠_Exterior symbol.

How to evaluate Exterior Angle of Regular Polygon using this online evaluator? To use this online evaluator for Exterior Angle of Regular Polygon, enter Number of Sides of Regular Polygon (N_S) and hit the calculate button.

FAQs on Exterior Angle of Regular Polygon

What is the formula to find Exterior Angle of Regular Polygon?

The formula of Exterior Angle of Regular Polygon is expressed as Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon. Here is an example- 2578.31 = (2*pi)/8.

How to calculate Exterior Angle of Regular Polygon?

With Number of Sides of Regular Polygon (N_S) we can find Exterior Angle of Regular Polygon using the formula - Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon. This formula also uses Archimedes' constant .

Can the Exterior Angle of Regular Polygon be negative?

No, the Exterior Angle of Regular Polygon, measured in Angle cannot be negative.

Which unit is used to measure Exterior Angle of Regular Polygon?

Exterior Angle of Regular Polygon is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Exterior Angle of Regular Polygon can be measured.

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