Short Chord Slice of Pentagram given Chord Length 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 [l_c]

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✖The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn.ⓘ Short Chord Slice of Pentagram given Chord Length [l_{Short Chord Slice}]

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Formula

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Short Chord Slice of Pentagram given Chord Length

Formula

`"l"_{"Short Chord Slice"} = "l"_{"c"}/"[phi]"^3`

Example

`"3.777088m"="16m"/"[phi]"^3`

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Short Chord Slice of Pentagram given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3
l_{Short Chord Slice} = l_c/[phi]^3
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Short Chord Slice of Pentagram - (Measured in Meter) - The Short Chord Slice of Pentagram is the edge length of the regular pentagon which form inside the Pentagram when all the chords are drawn.
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.

STEP 1: Convert Input(s) to Base Unit

Chord Length of Pentagram: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Short Chord Slice} = l_c/[phi]^3 --> 16/[phi]^3

Evaluating ... ...

l_{Short Chord Slice} = 3.77708763999664

STEP 3: Convert Result to Output's Unit

3.77708763999664 Meter --> No Conversion Required

FINAL ANSWER

3.77708763999664 ≈ 3.777088 Meter <-- Short Chord Slice of Pentagram

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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

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

< 7 Short Chord Slice of Pentagram Calculators

Short Chord Slice of Pentagram given Area

Go Short Chord Slice of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2

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

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

Short Chord Slice of Pentagram given Perimeter and Chord Length

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

Short Chord Slice of Pentagram given Long Chord Slice

Go Short Chord Slice of Pentagram = Long Chord Slice of Pentagram/[phi]

Short Chord Slice of Pentagram given Perimeter

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

Short Chord Slice of Pentagram

Go Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]^2

Short Chord Slice of Pentagram given Chord Length

Go Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3

< 8 Chord Slice of Pentagram Calculators

Long Chord Slice of Pentagram given Area

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

Short Chord Slice of Pentagram given Area

Go Short Chord Slice of Pentagram = sqrt((2*Area of Pentagram)/sqrt(5*(5-2*sqrt(5))))*1/[phi]^2

Long Chord Slice of Pentagram given Chord Length

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

Long Chord Slice of Pentagram

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

Short Chord Slice of Pentagram given Perimeter

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

Short Chord Slice of Pentagram

Go Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]^2

Short Chord Slice of Pentagram given Chord Length

Go Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3

Long Chord Slice of Pentagram given Perimeter

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

Short Chord Slice of Pentagram given Chord Length Formula

Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3
l_{Short Chord Slice} = l_c/[phi]^3

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 Short Chord Slice of Pentagram given Chord Length?

Short Chord Slice of Pentagram given Chord Length calculator uses Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3 to calculate the Short Chord Slice of Pentagram, The Short Chord Slice of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon, which forms inside the Pentagram when all the chords are drawn and calculated using the chord length of the Pentagram. Short Chord Slice of Pentagram is denoted by l_{Short Chord Slice} symbol.

How to calculate Short Chord Slice of Pentagram given Chord Length using this online calculator? To use this online calculator for Short Chord Slice of Pentagram given Chord Length, enter Chord Length of Pentagram (l_c) and hit the calculate button. Here is how the Short Chord Slice of Pentagram given Chord Length calculation can be explained with given input values -> 3.777088 = 16/[phi]^3.

FAQ

What is Short Chord Slice of Pentagram given Chord Length?

The Short Chord Slice of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon, which forms inside the Pentagram when all the chords are drawn and calculated using the chord length of the Pentagram and is represented as l_{Short Chord Slice} = l_c/[phi]^3 or Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3. The Chord Length of Pentagram is the diagonal length of regular pentagon from which the Pentagram is constructed using it's diagonals.

How to calculate Short Chord Slice of Pentagram given Chord Length?

The Short Chord Slice of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon, which forms inside the Pentagram when all the chords are drawn and calculated using the chord length of the Pentagram is calculated using Short Chord Slice of Pentagram = Chord Length of Pentagram/[phi]^3. To calculate Short Chord Slice of Pentagram given Chord Length, you need Chord Length of Pentagram (l_c). With our tool, you need to enter the respective value for Chord 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 Short Chord Slice of Pentagram?

In this formula, Short Chord Slice of Pentagram uses Chord Length of Pentagram. We can use 9 other way(s) to calculate the same, which is/are as follows -

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

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