Short Chord Slice of Pentagram given Long Chord Slice and 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)]			+10% -10%
✖The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.ⓘ Long Chord Slice of Pentagram [l_{Long Chord Slice}]			+10% -10%

✖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 Long Chord Slice and Pentagonal Edge Length [l_{Short Chord Slice}]

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Formula

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

Formula

`"l"_{"Short Chord Slice"} = "l"_{"e(Pentagon)"}-"l"_{"Long Chord Slice"}`

Example

`"4m"="10m"-"6m"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Long Chord Slice of Pentagram
l_{Short Chord Slice} = l_e(Pentagon)-l_{Long Chord Slice}
This formula uses 3 Variables

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.
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.
Long Chord Slice of Pentagram - (Measured in Meter) - The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Pentagram: 10 Meter --> 10 Meter No Conversion Required
Long Chord Slice of Pentagram: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Short Chord Slice} = l_e(Pentagon)-l_{Long Chord Slice} --> 10-6

Evaluating ... ...

l_{Short Chord Slice} = 4

STEP 3: Convert Result to Output's Unit

4 Meter --> No Conversion Required

FINAL ANSWER

4 Meter <-- Short Chord Slice of Pentagram

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 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

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

Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Long Chord Slice of Pentagram
l_{Short Chord Slice} = l_e(Pentagon)-l_{Long Chord Slice}

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 Long Chord Slice and Pentagonal Edge Length?

Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length calculator uses Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Long Chord Slice of Pentagram to calculate the Short Chord Slice of Pentagram, The Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge 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 long chord slice and pentagonal edge 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 Long Chord Slice and Pentagonal Edge Length using this online calculator? To use this online calculator for Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length, enter Pentagonal Edge Length of Pentagram (l_e(Pentagon)) & Long Chord Slice of Pentagram (l_{Long Chord Slice}) and hit the calculate button. Here is how the Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length calculation can be explained with given input values -> 4 = 10-6.

FAQ

What is Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length?

The Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge 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 long chord slice and pentagonal edge length of the Pentagram and is represented as l_{Short Chord Slice} = l_e(Pentagon)-l_{Long Chord Slice} or Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Long Chord Slice of Pentagram. Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals & The Long Chord Slice of Pentagram is the edge length of the entire star shape of the Pentagram or the equal side of the isosceles triangle which forms as the spike of the Pentagram.

How to calculate Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length?

The Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge 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 long chord slice and pentagonal edge length of the Pentagram is calculated using Short Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Long Chord Slice of Pentagram. To calculate Short Chord Slice of Pentagram given Long Chord Slice and Pentagonal Edge Length, you need Pentagonal Edge Length of Pentagram (l_e(Pentagon)) & Long Chord Slice of Pentagram (l_{Long Chord Slice}). With our tool, you need to enter the respective value for Pentagonal Edge Length of Pentagram & Long Chord Slice 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 Pentagonal Edge Length of Pentagram & Long Chord Slice of Pentagram. We can use 6 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/[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 = Chord Length of Pentagram/[phi]^3

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