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Number of Sides of Regular Polygon given Sum of Interior Angles Formula

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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. Check FAQs

N S = (\frac{Sum∠ Interior}{π}) + 2

N_S - Number of Sides of Regular Polygon?Sum∠_Interior - Sum of Interior Angles of Regular Polygon?π - Archimedes' constant?

Number of Sides of Regular Polygon given Sum of Interior Angles Example

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Here is how the Number of Sides of Regular Polygon given Sum of Interior Angles equation looks like with Values.

Here is how the Number of Sides of Regular Polygon given Sum of Interior Angles equation looks like with Units.

Here is how the Number of Sides of Regular Polygon given Sum of Interior Angles equation looks like.

8 = (\frac{1080}{3.1416}) + 2

8 = (\frac{1080°}{3.1416}) + 2

8 = (\frac{1080}{3.1416}) + 2

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Number of Sides of Regular Polygon given Sum of Interior Angles Solution

Follow our step by step solution on how to calculate Number of Sides of Regular Polygon given Sum of Interior Angles?

FIRST Step Consider the formula

N S = (\frac{Sum∠ Interior}{π}) + 2

Next Step Substitute values of Variables

∴

N S = (\frac{1080°}{π}) + 2

Next Step Substitute values of Constants

∴

N S = (\frac{1080°}{3.1416}) + 2

Next Step Convert Units

∴

N S = (\frac{18.8496rad}{3.1416}) + 2

Next Step Prepare to Evaluate

∴

N S = (\frac{18.8496}{3.1416}) + 2

Next Step Evaluate

∴

N S = 7.99999999999887

LAST Step Rounding Answer

∴

N S = 8

Number of Sides of Regular Polygon given Sum of Interior Angles Formula Elements

Variables

Constants

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

Sum of Interior Angles of Regular Polygon

The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.

Symbol: Sum∠_Interior

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Sum of Interior Angles 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 Other Formulas of Regular Polygon category

Go Number of Diagonals of Regular Polygon

N Diagonals = \frac{N S \cdot (N S - 3)}{2}

How to Evaluate Number of Sides of Regular Polygon given Sum of Interior Angles?

Number of Sides of Regular Polygon given Sum of Interior Angles evaluator uses Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2 to evaluate the Number of Sides of Regular Polygon, Number of Sides of Regular Polygon given Sum of Interior Angles formula is defined as the number of sides the polygon is made up of, calculated using the sum of interior angles. Number of Sides of Regular Polygon is denoted by N_S symbol.

How to evaluate Number of Sides of Regular Polygon given Sum of Interior Angles using this online evaluator? To use this online evaluator for Number of Sides of Regular Polygon given Sum of Interior Angles, enter Sum of Interior Angles of Regular Polygon (Sum∠_Interior) and hit the calculate button.

FAQs on Number of Sides of Regular Polygon given Sum of Interior Angles

What is the formula to find Number of Sides of Regular Polygon given Sum of Interior Angles?

The formula of Number of Sides of Regular Polygon given Sum of Interior Angles is expressed as Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2. Here is an example- 8 = (18.8495559215352/pi)+2.

How to calculate Number of Sides of Regular Polygon given Sum of Interior Angles?

With Sum of Interior Angles of Regular Polygon (Sum∠_Interior) we can find Number of Sides of Regular Polygon given Sum of Interior Angles using the formula - Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2. This formula also uses Archimedes' constant .

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