Pentagonal Edge Length of Pentagram given Perimeter Calculator

✖Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.ⓘ Pentagonal Edge Length of Pentagram given Perimeter [l_e(Pentagon)]

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Formula

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Pentagonal Edge Length of Pentagram given Perimeter

Formula

`"l"_{"e(Pentagon)"} = ("P"*"[phi]")/10`

Example

`"9.708204m"=("60m"*"[phi]")/10`

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Pentagonal Edge Length of Pentagram given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10
l_e(Pentagon) = (P*[phi])/10
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Pentagonal Edge Length of Pentagram - (Measured in Meter) - Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.
Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Pentagram: 60 Meter --> 60 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = (P*[phi])/10 --> (60*[phi])/10

Evaluating ... ...

l_e(Pentagon) = 9.70820393249937

STEP 3: Convert Result to Output's Unit

9.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

9.70820393249937 ≈ 9.708204 Meter <-- Pentagonal Edge Length of Pentagram

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 6 Edge Length of Pentagram Calculators

Pentagonal Edge Length of Pentagram given Area

Go Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Chord Length and Long Chord Slice

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram-Long Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Long Chord Slice

Go Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Perimeter

Go Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10

Pentagonal Edge Length of Pentagram given Chord Length

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]

< 9 Edges of Pentagram Calculators

Chord Length of Pentagram given Area

Go Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))

Pentagonal Edge Length of Pentagram given Area

Go Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram

Chord Length of Pentagram given Long Chord Slice

Go Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram

Chord Length of Pentagram given Long Chord Slice and Short Chord Slice

Go Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Perimeter

Go Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10

Pentagonal Edge Length of Pentagram given Chord Length

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]

Chord Length of Pentagram

Go Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram

Chord Length of Pentagram given Perimeter

Go Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])

Pentagonal Edge Length of Pentagram given Perimeter Formula

Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10
l_e(Pentagon) = (P*[phi])/10

What is Pentagram?

A Pentagram is constructed from the diagonals of a pentagon. The Pentagram is the most simple regular star polygon. The chord slices of a regular Pentagram are in the golden ratio φ 1.6180.

How to Calculate Pentagonal Edge Length of Pentagram given Perimeter?

Pentagonal Edge Length of Pentagram given Perimeter calculator uses Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10 to calculate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram given Perimeter formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter of the Pentagram. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Pentagram given Perimeter using this online calculator? To use this online calculator for Pentagonal Edge Length of Pentagram given Perimeter, enter Perimeter of Pentagram (P) and hit the calculate button. Here is how the Pentagonal Edge Length of Pentagram given Perimeter calculation can be explained with given input values -> 9.708204 = (60*[phi])/10.

FAQ

What is Pentagonal Edge Length of Pentagram given Perimeter?

The Pentagonal Edge Length of Pentagram given Perimeter formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter of the Pentagram and is represented as l_e(Pentagon) = (P*[phi])/10 or Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10. The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.

How to calculate Pentagonal Edge Length of Pentagram given Perimeter?

The Pentagonal Edge Length of Pentagram given Perimeter formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter of the Pentagram is calculated using Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10. To calculate Pentagonal Edge Length of Pentagram given Perimeter, you need Perimeter of Pentagram (P). With our tool, you need to enter the respective value for Perimeter of Pentagram 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 Pentagonal Edge Length of Pentagram?

In this formula, Pentagonal Edge Length of Pentagram uses Perimeter of Pentagram. We can use 8 other way(s) to calculate the same, which is/are as follows -

Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram-Long Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]

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