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
NS = (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
NS = (Sum∠Interior/pi)+2 --> (18.8495559215352/pi)+2
Evaluating ... ...
NS = 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 00.004 seconds)

Credits

Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
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2 Other Formulas of Regular Polygon Calculators

Number of Diagonals of Regular Polygon
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
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

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