Sum of Interior Angles of Regular Polygon Calculator

✖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.ⓘ Number of Sides of Regular Polygon [N_S]

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✖The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.ⓘ Sum of Interior Angles of Regular Polygon [Sum∠_Interior]

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Sum of Interior Angles of Regular Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi
Sum∠_Interior = (N_S-2)*pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sum of Interior Angles of Regular Polygon - (Measured in Radian) - The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a 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.

STEP 1: Convert Input(s) to Base Unit

Number of Sides of Regular Polygon: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Sum∠_Interior = (N_S-2)*pi --> (8-2)*pi

Evaluating ... ...

Sum∠_Interior = 18.8495559215388

STEP 3: Convert Result to Output's Unit

18.8495559215388 Radian -->1080.0000000002 Degree (Check conversion here)

FINAL ANSWER

1080.0000000002 ≈ 1080 Degree <-- Sum of Interior Angles of Regular Polygon

(Calculation completed in 00.004 seconds)

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Created by Sakshi Priya

Indian Institute of Technology (IIT), Roorkee

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< Angles of Regular Polygon Calculators

Interior Angle of Regular Polygon

LaTeX Go Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon

Interior Angle of Regular Polygon given Sum of Interior Angles

LaTeX Go Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon

Sum of Interior Angles of Regular Polygon

LaTeX Go Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi

Exterior Angle of Regular Polygon

LaTeX Go Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon

Sum of Interior Angles of Regular Polygon Formula

LaTeX Go

Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi
Sum∠_Interior = (N_S-2)*pi

What is Regular Polygon?

A Regular Polygon has sides of equal length and equal angles between each side. A regular n-sided polygon has rotational symmetry of order n and it is also known as a cyclic polygon. All the vertices of a regular polygon lie on the circumscribed circle.

How to Calculate Sum of Interior Angles of Regular Polygon?

Sum of Interior Angles of Regular Polygon calculator uses Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi to calculate 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 calculate Sum of Interior Angles of Regular Polygon using this online calculator? To use this online calculator for Sum of Interior Angles of Regular Polygon, enter Number of Sides of Regular Polygon (N_S) and hit the calculate button. Here is how the Sum of Interior Angles of Regular Polygon calculation can be explained with given input values -> 61879.44 = (8-2)*pi.

FAQ

What is 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 and is represented as Sum∠_Interior = (N_S-2)*pi or Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi. 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.

How to calculate 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 is calculated using Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi. To calculate Sum of Interior Angles of Regular Polygon, you need Number of Sides of Regular Polygon (N_S). With our tool, you need to enter the respective value for Number of Sides of Regular Polygon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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