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Sum of Interior Angles of Regular Polygon Formula

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

Sum∠ Interior = (N S - 2) \cdot π

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

Sum of Interior Angles of Regular Polygon Example

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

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

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

1080 = (8 - 2) \cdot 3.1416

1080° = (8 - 2) \cdot 3.1416

1080 = (8 - 2) \cdot 3.1416

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Sum of Interior Angles of Regular Polygon Solution

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

FIRST Step Consider the formula

Sum∠ Interior = (N S - 2) \cdot π

Next Step Substitute values of Variables

∴

Sum∠ Interior = (8 - 2) \cdot π

Next Step Substitute values of Constants

∴

Sum∠ Interior = (8 - 2) \cdot 3.1416

Next Step Prepare to Evaluate

∴

Sum∠ Interior = (8 - 2) \cdot 3.1416

Next Step Evaluate

∴

Sum∠ Interior = 18.8495559215388rad

Next Step Convert to Output's Unit

∴

Sum∠ Interior = 1080.0000000002°

LAST Step Rounding Answer

∴

Sum∠ Interior = 1080°

Sum of Interior Angles of Regular Polygon Formula Elements

Variables

Constants

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

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 Exterior Angle of Regular Polygon

∠ Exterior = \frac{2 \cdot π}{N S}

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}

How to Evaluate Sum of Interior Angles of Regular Polygon?

Sum of Interior Angles of Regular Polygon evaluator uses Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi to evaluate the Sum of Interior Angles of Regular Polygon, Sum of Interior Angles of Regular Polygon formula is defined as the sum of all the interior angles of a Regular Polygon. Sum of Interior Angles of Regular Polygon is denoted by Sum∠_Interior symbol.

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

FAQs on Sum of Interior Angles of Regular Polygon

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

The formula of Sum of Interior Angles of Regular Polygon is expressed as Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi. Here is an example- 61879.44 = (8-2)*pi.

How to calculate Sum of Interior Angles of Regular Polygon?

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

Can the Sum of Interior Angles of Regular Polygon be negative?

No, the Sum of Interior Angles of Regular Polygon, measured in Angle cannot be negative.

Which unit is used to measure Sum of Interior Angles of Regular Polygon?

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

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