Chord Length of Pentagram Solution

STEP 0: Pre-Calculation Summary
Formula Used
Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
lc = [phi]*le(Pentagon)
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.
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
lc = [phi]*le(Pentagon) --> [phi]*10
Evaluating ... ...
lc = 16.1803398874989
STEP 3: Convert Result to Output's Unit
16.1803398874989 Meter --> No Conversion Required
FINAL ANSWER
16.1803398874989 16.18034 Meter <-- Chord Length of Pentagram
(Calculation completed in 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Chord Length of Pentagram Calculators

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

Edges of Pentagram Calculators

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

Chord Length of Pentagram Formula

​LaTeX ​Go
Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
lc = [phi]*le(Pentagon)

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?

Chord Length of Pentagram calculator uses Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram to calculate the Chord Length of Pentagram, The Chord Length of Pentagram formula is defined as the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals. Chord Length of Pentagram is denoted by lc symbol.

How to calculate Chord Length of Pentagram using this online calculator? To use this online calculator for Chord Length of Pentagram, enter Pentagonal Edge Length of Pentagram (le(Pentagon)) and hit the calculate button. Here is how the Chord Length of Pentagram calculation can be explained with given input values -> 16.18034 = [phi]*10.

FAQ

What is Chord Length of Pentagram?
The Chord Length of Pentagram formula is defined as the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals and is represented as lc = [phi]*le(Pentagon) or Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram. 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 Chord Length of Pentagram?
The Chord Length of Pentagram formula is defined as the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals is calculated using Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram. To calculate Chord Length of Pentagram, you need Pentagonal Edge Length of Pentagram (le(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 Chord Length of Pentagram?
In this formula, Chord Length of Pentagram uses Pentagonal Edge Length of Pentagram. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
  • Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])
  • Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))
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