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Sum of Interior Angles of N-gon Formula

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Sum of Interior Angles of N-gon is the sum of all the interior angles of an N sided polygon. Check FAQs

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

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

Sum of Interior Angles of N-gon Example

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

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

Here is how the Sum of Interior Angles of N-gon 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 N-gon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Sum Interior Angles = (8 - 2) \cdot π

Next Step Substitute values of Constants

∴

Sum Interior Angles = (8 - 2) \cdot 3.1416

Next Step Prepare to Evaluate

∴

Sum Interior Angles = (8 - 2) \cdot 3.1416

Next Step Evaluate

∴

Sum Interior Angles = 18.8495559215388rad

Next Step Convert to Output's Unit

∴

Sum Interior Angles = 1080.0000000002°

LAST Step Rounding Answer

∴

Sum Interior Angles = 1080°

Sum of Interior Angles of N-gon Formula Elements

Variables

Constants

Sum of Interior Angles of N-gon

Sum of Interior Angles of N-gon is the sum of all the interior angles of an N sided polygon.

Symbol: Sum_{Interior Angles}

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Sum of Interior 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 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}

Go Central Angle of N-gon

∠ Central = \frac{2 \cdot π}{N Sides}

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

Sum of Interior Angles of N-gon evaluator uses Sum of Interior Angles of N-gon = (Number of Sides of N-gon-2)*pi to evaluate the Sum of Interior Angles of N-gon, Sum of Interior Angles of N-gon is defined as the addition of all the interior angles of the N-sided Polygon. Sum of Interior Angles of N-gon is denoted by Sum_{Interior Angles} symbol.

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

FAQs on Sum of Interior Angles of N-gon

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

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

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

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

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

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

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

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

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