Perimeter of Pentagram given Pentagonal Edge Length 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 [l_e(Pentagon)]

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✖The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.ⓘ Perimeter of Pentagram given Pentagonal Edge Length [P]

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Formula

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Perimeter of Pentagram given Pentagonal Edge Length

Formula

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

Example

`"61.8034m"=(10*"10m")/"[phi]"`

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Perimeter of Pentagram given Pentagonal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.
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.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Pentagram: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

P = 61.8033988749895

STEP 3: Convert Result to Output's Unit

61.8033988749895 Meter --> No Conversion Required

FINAL ANSWER

61.8033988749895 ≈ 61.8034 Meter <-- Perimeter of Pentagram

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< 6 Perimeter of Pentagram Calculators

Perimeter of Pentagram given Area

Go Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Perimeter of Pentagram given Pentagonal Edge Length and Short Chord Slice

Go Perimeter of Pentagram = 10*(Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram)

Perimeter of Pentagram given Pentagonal Edge Length and Chord Length

Go Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)

Perimeter of Pentagram given Pentagonal Edge Length

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

Perimeter of Pentagram given Short Chord Slice

Go Perimeter of Pentagram = 10*[phi]*Short Chord Slice of Pentagram

Perimeter of Pentagram

Go Perimeter of Pentagram = 10*Long Chord Slice of Pentagram

< 3 Perimeter of Pentagram Calculators

Perimeter of Pentagram given Area

Go Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Perimeter of Pentagram given Pentagonal Edge Length

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

Perimeter of Pentagram

Go Perimeter of Pentagram = 10*Long Chord Slice of Pentagram

Perimeter of Pentagram given Pentagonal Edge Length Formula

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

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 Perimeter of Pentagram given Pentagonal Edge Length?

Perimeter of Pentagram given Pentagonal Edge Length calculator uses Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi] to calculate the Perimeter of Pentagram, The Perimeter of Pentagram given Pentagonal Edge Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the pentagonal edge length of the Pentagram. Perimeter of Pentagram is denoted by P symbol.

How to calculate Perimeter of Pentagram given Pentagonal Edge Length using this online calculator? To use this online calculator for Perimeter of Pentagram given Pentagonal Edge Length, enter Pentagonal Edge Length of Pentagram (l_e(Pentagon)) and hit the calculate button. Here is how the Perimeter of Pentagram given Pentagonal Edge Length calculation can be explained with given input values -> 61.8034 = (10*10)/[phi].

FAQ

What is Perimeter of Pentagram given Pentagonal Edge Length?

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

How to calculate Perimeter of Pentagram given Pentagonal Edge Length?

The Perimeter of Pentagram given Pentagonal Edge Length formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the pentagonal edge length of the Pentagram is calculated using Perimeter of Pentagram = (10*Pentagonal Edge Length of Pentagram)/[phi]. To calculate Perimeter of Pentagram given Pentagonal Edge Length, you need Pentagonal Edge Length of Pentagram (l_e(Pentagon)). With our tool, you need to enter the respective value for Pentagonal Edge Length 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 Perimeter of Pentagram?

In this formula, Perimeter of Pentagram uses Pentagonal Edge Length of Pentagram. We can use 7 other way(s) to calculate the same, which is/are as follows -

Perimeter of Pentagram = 10*Long Chord Slice of Pentagram
Perimeter of Pentagram = 10*(Chord Length of Pentagram-Pentagonal Edge Length of Pentagram)
Perimeter of Pentagram = 10*(Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram)
Perimeter of Pentagram = 10*[phi]*Short Chord Slice of Pentagram
Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Perimeter of Pentagram = 10*Long Chord Slice of Pentagram
Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

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