Perimeter of Regular Polygon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon
P = NS*le
This formula uses 3 Variables
Variables Used
Perimeter of Regular Polygon - (Measured in Meter) - The Perimeter of Regular Polygon is the total distance around the edge of the Regular 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.
Edge Length of Regular Polygon - (Measured in Meter) - The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.
STEP 1: Convert Input(s) to Base Unit
Number of Sides of Regular Polygon: 8 --> No Conversion Required
Edge Length of Regular Polygon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = NS*le --> 8*10
Evaluating ... ...
P = 80
STEP 3: Convert Result to Output's Unit
80 Meter --> No Conversion Required
FINAL ANSWER
80 Meter <-- Perimeter 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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Perimeter of Regular Polygon Calculators

Perimeter of Regular Polygon given Number of Sides and Circumradius
​ LaTeX ​ Go Perimeter of Regular Polygon = 2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
Perimeter of Regular Polygon given Number of Sides and Inradius
​ LaTeX ​ Go Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)
Perimeter of Regular Polygon given Circumradius and Area
​ LaTeX ​ Go Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)
Perimeter of Regular Polygon
​ LaTeX ​ Go Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon

Perimeter of Regular Polygon Formula

​LaTeX ​Go
Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon
P = NS*le

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 Perimeter of Regular Polygon?

Perimeter of Regular Polygon calculator uses Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon to calculate the Perimeter of Regular Polygon, Perimeter of Regular Polygon formula is defined as the total distance around the edges of the Regular Polygon. Perimeter of Regular Polygon is denoted by P symbol.

How to calculate Perimeter of Regular Polygon using this online calculator? To use this online calculator for Perimeter of Regular Polygon, enter Number of Sides of Regular Polygon (NS) & Edge Length of Regular Polygon (le) and hit the calculate button. Here is how the Perimeter of Regular Polygon calculation can be explained with given input values -> 80 = 8*10.

FAQ

What is Perimeter of Regular Polygon?
Perimeter of Regular Polygon formula is defined as the total distance around the edges of the Regular Polygon and is represented as P = NS*le or Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length 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 & The Edge Length of Regular Polygon is the length of one of the sides of the Regular Polygon.
How to calculate Perimeter of Regular Polygon?
Perimeter of Regular Polygon formula is defined as the total distance around the edges of the Regular Polygon is calculated using Perimeter of Regular Polygon = Number of Sides of Regular Polygon*Edge Length of Regular Polygon. To calculate Perimeter of Regular Polygon, you need Number of Sides of Regular Polygon (NS) & Edge Length of Regular Polygon (le). With our tool, you need to enter the respective value for Number of Sides of Regular Polygon & Edge Length 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 Perimeter of Regular Polygon?
In this formula, Perimeter of Regular Polygon uses Number of Sides of Regular Polygon & Edge Length of Regular Polygon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Regular Polygon = 2*Circumradius of Regular Polygon*Number of Sides of Regular Polygon*sin(pi/Number of Sides of Regular Polygon)
  • Perimeter of Regular Polygon = (2*Area of Regular Polygon)/sqrt(Circumradius of Regular Polygon^2-Edge Length of Regular Polygon^2/4)
  • Perimeter of Regular Polygon = 2*Number of Sides of Regular Polygon*Inradius of Regular Polygon*tan(pi/Number of Sides of Regular Polygon)
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