## Interior Angle of Regular Polygon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon
Interior = ((NS-2)*pi)/NS
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Interior Angle of Regular Polygon - (Measured in Radian) - The Interior Angle of Regular Polygon is the angle between adjacent sides 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
Interior = ((NS-2)*pi)/NS --> ((8-2)*pi)/8
Evaluating ... ...
Interior = 2.35619449019234
STEP 3: Convert Result to Output's Unit
2.35619449019234 Radian -->135.000000000025 Degree (Check conversion ​here)
135.000000000025 135 Degree <-- Interior Angle of Regular Polygon
(Calculation completed in 00.004 seconds)
You are here -
Home » Math »

## Credits

Created by Sakshi Priya
Indian Institute of Technology (IIT), Roorkee
Sakshi Priya has created this Calculator and 25+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

## <Angles of Regular Polygon Calculators

Interior Angle of Regular Polygon
​ 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
​ 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
​ Go Sum of Interior Angles of Regular Polygon = (Number of Sides of Regular Polygon-2)*pi
Exterior Angle of Regular Polygon
​ Go Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon

## Interior Angle of Regular Polygon Formula

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

## 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.

## What is Interior Angle?

The Interior angle of a polygon is the inner angle formed when two sides come together. All the interior angles in a regular polygon are equal.

## How to Calculate Interior Angle of Regular Polygon?

Interior Angle of Regular Polygon calculator uses Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon to calculate the Interior Angle of Regular Polygon, Interior Angle of Regular Polygon formula can be defined as the angle between adjacent sides of a Polygon. Interior Angle of Regular Polygon is denoted by Interior symbol.

How to calculate Interior Angle of Regular Polygon using this online calculator? To use this online calculator for Interior Angle of Regular Polygon, enter Number of Sides of Regular Polygon (NS) and hit the calculate button. Here is how the Interior Angle of Regular Polygon calculation can be explained with given input values -> 7734.93 = ((8-2)*pi)/8.

### FAQ

What is Interior Angle of Regular Polygon?
Interior Angle of Regular Polygon formula can be defined as the angle between adjacent sides of a Polygon and is represented as Interior = ((NS-2)*pi)/NS or Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/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.
How to calculate Interior Angle of Regular Polygon?
Interior Angle of Regular Polygon formula can be defined as the angle between adjacent sides of a Polygon is calculated using Interior Angle of Regular Polygon = ((Number of Sides of Regular Polygon-2)*pi)/Number of Sides of Regular Polygon. To calculate Interior Angle of Regular Polygon, you need Number of Sides of Regular Polygon (NS). 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.
How many ways are there to calculate Interior Angle of Regular Polygon?
In this formula, Interior Angle of Regular Polygon uses Number of Sides of Regular Polygon. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Interior Angle of Regular Polygon = Sum of Interior Angles of Regular Polygon/Number of Sides of Regular Polygon
Let Others Know