Edge Length of Polygram given Perimeter Calculator

✖The Perimeter of Polygram is the total length of all the boundary lines of the Polygram shape.ⓘ Perimeter of Polygram [P]			+10% -10%
✖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 given Perimeter [l_e]

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Edge Length of Polygram given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Polygram: 100 Meter --> 100 Meter No Conversion Required
Number of Spikes in Polygram: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = P/(2*N_Spikes) --> 100/(2*10)

Evaluating ... ...

l_e = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Edge Length of Polygram

(Calculation completed in 00.004 seconds)

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< Edge Length of Polygram Calculators

Edge Length of Polygram given Chord Length

LaTeX Go Edge Length of Polygram = Chord Length of Polygram/sqrt(2*(1-cos(Outer Angle of Polygram)))

Edge Length of Polygram given Base Length

LaTeX Go Edge Length of Polygram = Base Length of Polygram/sqrt(2*(1-cos(Inner Angle of Polygram)))

Edge Length of Polygram given Spike Height

LaTeX Go Edge Length of Polygram = sqrt(Spike Height of Polygram^2+Base Length of Polygram^2/4)

Edge Length of Polygram given Perimeter

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

Edge Length of Polygram given Perimeter Formula

LaTeX Go

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

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 an n-pointed star. For an 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 (Base Length of the Polygram)
2) Length of the equal side of the triangle (Edge Length of the Polygram)
3) Angle between the two equal sides of the isosceles triangle (Inner Angle angle of the Polygram)
4) Height of the triangle (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 Edge Length of Polygram given Perimeter?

Edge Length of Polygram given Perimeter calculator uses Edge Length of Polygram = Perimeter of Polygram/(2*Number of Spikes in Polygram) to calculate the Edge Length of Polygram, The Edge Length of Polygram given Perimeter formula is defined as the length of the equal sides of the isosceles triangle attached to the n-sided polygon of the Polygram and calculated using the perimeter of the Polygram. Edge Length of Polygram is denoted by l_e symbol.

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

FAQ

What is Edge Length of Polygram given Perimeter?

The Edge Length of Polygram given Perimeter formula is defined as the length of the equal sides of the isosceles triangle attached to the n-sided polygon of the Polygram and calculated using the perimeter of the Polygram and is represented as l_e = P/(2*N_Spikes) or Edge Length of Polygram = Perimeter of Polygram/(2*Number of Spikes in Polygram). The Perimeter of Polygram is the total length of all the boundary lines of the Polygram shape & 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.

How to calculate Edge Length of Polygram given Perimeter?

The Edge Length of Polygram given Perimeter formula is defined as the length of the equal sides of the isosceles triangle attached to the n-sided polygon of the Polygram and calculated using the perimeter of the Polygram is calculated using Edge Length of Polygram = Perimeter of Polygram/(2*Number of Spikes in Polygram). To calculate Edge Length of Polygram given Perimeter, you need Perimeter of Polygram (P) & Number of Spikes in Polygram (N_Spikes). With our tool, you need to enter the respective value for Perimeter of Polygram & Number of Spikes in Polygram 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 Edge Length of Polygram?

In this formula, Edge Length of Polygram uses Perimeter of Polygram & Number of Spikes in Polygram. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Polygram = Base Length of Polygram/sqrt(2*(1-cos(Inner Angle of Polygram)))
Edge Length of Polygram = sqrt(Spike Height of Polygram^2+Base Length of Polygram^2/4)
Edge Length of Polygram = Chord Length of Polygram/sqrt(2*(1-cos(Outer Angle of Polygram)))

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