Exterior Angle 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]

+10%

-10%

✖The Exterior Angle of Regular Polygon is the angle between one side of the polygon and the line extending from the next side of the polygon.ⓘ Exterior Angle of Regular Polygon [∠_Exterior]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Regular Polygon Formulas PDF PDF Image

Exterior Angle of Regular Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon
∠_Exterior = (2*pi)/N_S
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Exterior Angle of Regular Polygon - (Measured in Radian) - The Exterior Angle of Regular Polygon is the angle between one side of the polygon and the line extending from the next side of the 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

∠_Exterior = (2*pi)/N_S --> (2*pi)/8

Evaluating ... ...

∠_Exterior = 0.785398163397448

STEP 3: Convert Result to Output's Unit

0.785398163397448 Radian -->45.0000000000085 Degree (Check conversion here)

FINAL ANSWER

45.0000000000085 ≈ 45 Degree <-- Exterior Angle of Regular Polygon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » Regular Polygon » 2D Geometry » Angles of Regular Polygon » Exterior Angle of Regular Polygon

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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

Exterior Angle of Regular Polygon Formula

LaTeX Go

Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon
∠_Exterior = (2*pi)/N_S

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 Exterior Angle?

An Exterior angle is an angle formed outside the polygons enclosure by one of its sides and the extension of its adjacent side. The sum of the exterior angles of polygon is 360 degrees.

How to Calculate Exterior Angle of Regular Polygon?

Exterior Angle of Regular Polygon calculator uses Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon to calculate the Exterior Angle of Regular Polygon, Exterior Angle of Regular Polygon formula is defined as the angle between one side of the polygon and the line extending from the next side of the Regular Polygon. Exterior Angle of Regular Polygon is denoted by ∠_Exterior symbol.

How to calculate Exterior Angle of Regular Polygon using this online calculator? To use this online calculator for Exterior Angle of Regular Polygon, enter Number of Sides of Regular Polygon (N_S) and hit the calculate button. Here is how the Exterior Angle of Regular Polygon calculation can be explained with given input values -> 2578.31 = (2*pi)/8.

FAQ

What is Exterior Angle of Regular Polygon?

Exterior Angle of Regular Polygon formula is defined as the angle between one side of the polygon and the line extending from the next side of the Regular Polygon and is represented as ∠_Exterior = (2*pi)/N_S or Exterior Angle 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 Exterior Angle of Regular Polygon?

Exterior Angle of Regular Polygon formula is defined as the angle between one side of the polygon and the line extending from the next side of the Regular Polygon is calculated using Exterior Angle of Regular Polygon = (2*pi)/Number of Sides of Regular Polygon. To calculate Exterior Angle 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.

Home

FREE PDFs

🔍 Search