Perimeter of Polygram Calculator

✖The Number of Spikes in Polygram is the total count of isosceles triangular spikes the Polygram has or the total number of sides of the polygon on which the spikes are attached to form the Polygram.ⓘ Number of Spikes in Polygram [N_Spikes]			+10% -10%
✖The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.ⓘ Edge Length of Polygram [l_e]			+10% -10%

✖The Perimeter of Polygram is the total length of all the boundary lines of the Polygram shape.ⓘ Perimeter of Polygram [P]

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Perimeter of Polygram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram
P = 2*N_Spikes*l_e
This formula uses 3 Variables

Variables Used

Perimeter of Polygram - (Measured in Meter) - The Perimeter of Polygram is the total length of all the boundary lines of the Polygram shape.
Number of Spikes in Polygram - The Number of Spikes in Polygram is the total count of isosceles triangular spikes the Polygram has or the total number of sides of the polygon on which the spikes are attached to form the Polygram.
Edge Length of Polygram - (Measured in Meter) - The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.

STEP 1: Convert Input(s) to Base Unit

Number of Spikes in Polygram: 10 --> No Conversion Required
Edge Length of Polygram: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*N_Spikes*l_e --> 2*10*5

Evaluating ... ...

P = 100

STEP 3: Convert Result to Output's Unit

100 Meter --> No Conversion Required

FINAL ANSWER

100 Meter <-- Perimeter of Polygram

(Calculation completed in 00.004 seconds)

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Created by Katakam Devaharsha Siva Sai

Sri Sathya Sai Institute of Higher Learning (SSSIHL), Prasanthi Nilayam

Katakam Devaharsha Siva Sai has created this Calculator and 2 more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

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< Area and Perimeter of Polygram Calculators

Area of Polygram

LaTeX Go Area of Polygram = (Number of Spikes in Polygram*(Base Length of Polygram^2)/(4*tan(pi/Number of Spikes in Polygram)))+(Number of Spikes in Polygram*Spike Height of Polygram*Base Length of Polygram/2)

Perimeter of Polygram

LaTeX Go Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram

Perimeter of Polygram Formula

LaTeX Go

Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram
P = 2*N_Spikes*l_e

What is Polygram ?

→ A Polygram is a regular n-sided polygon with identical isosceles triangles (also known as SPIKES) attached to each edge.
→ It looks like a n-pointed star.
→ For a n-pointed star, there will be n-spikes.
→ The Spike (Isosceles Triangle) is an important part of the polygram and it is defined using 4 parameters. They are :
1) The Base Length of the Triangle (a.k.a Base Length of the Polygram)
2) Length of the equal side of the triangle (a.k.a Edge Length of the Polygram)
3) Angle between the two equal sides of the isosceles triangle (a.k.a Inner Angle angle of the Polygram)
4) Height of the triangle (a.k.a Spike Height)

Apart from these there are other important parameters that define the Polygram. They are:
1) Outer Angle : The angle between two adjacent isosceles triangles.
2) Chord Length : The distance between two peaks of the adjacent Spikes of the Polygram.
3) Perimeter : The sum of lengths of all the edges of the polygram.
4) Area : The amount of space occupied by the polygram.

How to Calculate Perimeter of Polygram?

Perimeter of Polygram calculator uses Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram to calculate the Perimeter of Polygram, The Perimeter of Polygram formula is defined as the sum of the lengths of all edges of the polygram. Perimeter of Polygram is denoted by P symbol.

How to calculate Perimeter of Polygram using this online calculator? To use this online calculator for Perimeter of Polygram, enter Number of Spikes in Polygram (N_Spikes) & Edge Length of Polygram (l_e) and hit the calculate button. Here is how the Perimeter of Polygram calculation can be explained with given input values -> 100 = 2*10*5.

FAQ

What is Perimeter of Polygram?

The Perimeter of Polygram formula is defined as the sum of the lengths of all edges of the polygram and is represented as P = 2*N_Spikes*l_e or Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram. The Number of Spikes in Polygram is the total count of isosceles triangular spikes the Polygram has or the total number of sides of the polygon on which the spikes are attached to form the Polygram & The Edge Length of Polygram is the length of any edge of the Polygram shape, from one end to other end.

How to calculate Perimeter of Polygram?

The Perimeter of Polygram formula is defined as the sum of the lengths of all edges of the polygram is calculated using Perimeter of Polygram = 2*Number of Spikes in Polygram*Edge Length of Polygram. To calculate Perimeter of Polygram, you need Number of Spikes in Polygram (N_Spikes) & Edge Length of Polygram (l_e). With our tool, you need to enter the respective value for Number of Spikes in Polygram & Edge Length of Polygram 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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