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Central Angle of N-gon Formula

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Central Angle of N-gon is the angle made at the center by any two adjacent vertices of the N-gon. Check FAQs

∠ Central = \frac{2 \cdot π}{N Sides}

∠_Central - Central Angle of N-gon?N_Sides - Number of Sides of N-gon?π - Archimedes' constant?

Central Angle of N-gon Example

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Here is how the Central Angle of N-gon equation looks like with Values.

Here is how the Central Angle of N-gon equation looks like with Units.

Here is how the Central Angle of N-gon 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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Central Angle of N-gon Solution

Follow our step by step solution on how to calculate Central Angle of N-gon?

FIRST Step Consider the formula

∠ Central = \frac{2 \cdot π}{N Sides}

Next Step Substitute values of Variables

∴

∠ Central = \frac{2 \cdot π}{8}

Next Step Substitute values of Constants

∴

∠ Central = \frac{2 \cdot 3.1416}{8}

Next Step Prepare to Evaluate

∴

∠ Central = \frac{2 \cdot 3.1416}{8}

Next Step Evaluate

∴

∠ Central = 0.785398163397448rad

Next Step Convert to Output's Unit

∴

∠ Central = 45.0000000000085°

LAST Step Rounding Answer

∴

∠ Central = 45°

Central Angle of N-gon Formula Elements

Variables

Constants

Central Angle of N-gon

Central Angle of N-gon is the angle made at the center by any two adjacent vertices of the N-gon.

Symbol: ∠_Central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle 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 Sum of Exterior Angles of N-gon

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

Go Exterior Angle of N-gon

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

How to Evaluate Central Angle of N-gon?

Central Angle of N-gon evaluator uses Central Angle of N-gon = (2*pi)/Number of Sides of N-gon to evaluate the Central Angle of N-gon, The Central angle of N-gon formula is defined as the angle made at the center of the N-gon by any two adjacent vertices. Central Angle of N-gon is denoted by ∠_Central symbol.

How to evaluate Central Angle of N-gon using this online evaluator? To use this online evaluator for Central Angle of N-gon, enter Number of Sides of N-gon (N_Sides) and hit the calculate button.

FAQs on Central Angle of N-gon

What is the formula to find Central Angle of N-gon?

The formula of Central Angle of N-gon is expressed as Central Angle of N-gon = (2*pi)/Number of Sides of N-gon. Here is an example- 2578.31 = (2*pi)/8.

How to calculate Central Angle of N-gon?

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

Can the Central Angle of N-gon be negative?

No, the Central Angle of N-gon, measured in Angle cannot be negative.

Which unit is used to measure Central Angle of N-gon?

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

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