Chord Length of Pentagram given Perimeter Calculator

✖The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals.ⓘ Chord Length of Pentagram given Perimeter [l_c]

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Formula

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Chord Length of Pentagram given Perimeter

Formula

`"l"_{"c"} = "P"/10*(1+"[phi]")`

Example

`"15.7082m"="60m"/10*(1+"[phi]")`

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Chord Length of Pentagram given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])
l_c = P/10*(1+[phi])
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Chord Length of Pentagram - (Measured in Meter) - The Chord Length of Pentagram is the diagonal 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_c = P/10*(1+[phi]) --> 60/10*(1+[phi])

Evaluating ... ...

l_c = 15.7082039324994

STEP 3: Convert Result to Output's Unit

15.7082039324994 Meter --> No Conversion Required

FINAL ANSWER

15.7082039324994 ≈ 15.7082 Meter <-- Chord Length of Pentagram

(Calculation completed in 00.018 seconds)

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Credits

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!

< 9 Chord Length of Pentagram Calculators

Chord Length of Pentagram given Area and Short Chord Slice

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

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)))))

Chord Length of Pentagram given Perimeter and Long Chord Slice

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

Chord Length of Pentagram given Short Chord Slice

Go Chord Length of Pentagram = (2*Pentagonal Edge Length 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

Chord Length of Pentagram given Perimeter and Short Chord Slice

Go Chord Length of Pentagram = Perimeter of Pentagram/5+Short Chord Slice of Pentagram

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])

< 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])

Chord Length of Pentagram given Perimeter Formula

Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])
l_c = P/10*(1+[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 Chord Length of Pentagram given Perimeter?

Chord Length of Pentagram given Perimeter calculator uses Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]) to calculate the Chord Length of Pentagram, The Chord Length of Pentagram given Perimeter formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and pentagonal edge length of the Pentagram. Chord Length of Pentagram is denoted by l_c symbol.

How to calculate Chord Length of Pentagram given Perimeter using this online calculator? To use this online calculator for Chord Length of Pentagram given Perimeter, enter Perimeter of Pentagram (P) and hit the calculate button. Here is how the Chord Length of Pentagram given Perimeter calculation can be explained with given input values -> 15.7082 = 60/10*(1+[phi]).

FAQ

What is Chord Length of Pentagram given Perimeter?

The Chord Length of Pentagram given Perimeter formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and pentagonal edge length of the Pentagram and is represented as l_c = P/10*(1+[phi]) or Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]). The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.

How to calculate Chord Length of Pentagram given Perimeter?

The Chord Length of Pentagram given Perimeter formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and pentagonal edge length of the Pentagram is calculated using Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi]). To calculate Chord 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 Chord Length of Pentagram?

In this formula, Chord Length of Pentagram uses Perimeter of Pentagram. We can use 12 other way(s) to calculate the same, which is/are as follows -

Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
Chord Length of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))+(Short Chord Slice of Pentagram*[phi])
Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
Chord Length of Pentagram = Perimeter of Pentagram/5+Short Chord Slice of Pentagram
Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram
Chord Length of Pentagram = (2*Pentagonal Edge Length of Pentagram)-Short Chord Slice of Pentagram
Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram

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