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

✖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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✖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 given Sum of Interior Angles [N_S]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Sum of Interior Angles of Regular Polygon: 1080 Degree --> 18.8495559215352 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_S = (Sum∠_Interior/pi)+2 --> (18.8495559215352/pi)+2

Evaluating ... ...

N_S = 7.99999999999887

STEP 3: Convert Result to Output's Unit

7.99999999999887 --> No Conversion Required

FINAL ANSWER

7.99999999999887 ≈ 8 <-- Number of Sides of Regular Polygon

(Calculation completed in 00.006 seconds)

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< Other Formulas of Regular Polygon Calculators

Number of Diagonals of Regular Polygon

LaTeX Go Number of Diagonals of Regular Polygon = (Number of Sides of Regular Polygon*(Number of Sides of Regular Polygon-3))/2

Number of Sides of Regular Polygon given Sum of Interior Angles

LaTeX Go Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2

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

LaTeX Go

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

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

Number of Sides of Regular Polygon given Sum of Interior Angles calculator uses Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2 to calculate 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 calculate Number of Sides of Regular Polygon given Sum of Interior Angles using this online calculator? To use this online calculator 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. Here is how the Number of Sides of Regular Polygon given Sum of Interior Angles calculation can be explained with given input values -> 8 = (18.8495559215352/pi)+2.

FAQ

What is Number of Sides of Regular Polygon given Sum of Interior Angles?

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 and is represented as N_S = (Sum∠_Interior/pi)+2 or Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2. The Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon.

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

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 is calculated using Number of Sides of Regular Polygon = (Sum of Interior Angles of Regular Polygon/pi)+2. To calculate Number of Sides of Regular Polygon given Sum of Interior Angles, you need Sum of Interior Angles of Regular Polygon (Sum∠_Interior). With our tool, you need to enter the respective value for Sum of Interior Angles 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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