Pentagonal Edge Length of Pentagram given Long Chord Slice Calculator

✖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}]

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✖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 given Long Chord Slice [l_e(Pentagon)]

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Pentagonal Edge Length of Pentagram given Long Chord Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram
l_e(Pentagon) = [phi]*l_{Long Chord Slice}
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

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

Long Chord Slice of Pentagram: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = [phi]*l_{Long Chord Slice} --> [phi]*6

Evaluating ... ...

l_e(Pentagon) = 9.70820393249937

STEP 3: Convert Result to Output's Unit

9.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

9.70820393249937 ≈ 9.708204 Meter <-- Pentagonal Edge Length 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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< Edge Length of Pentagram Calculators

Pentagonal Edge Length of Pentagram given Area

LaTeX Go Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Pentagonal Edge Length of Pentagram

LaTeX Go Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram

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

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

Pentagonal Edge Length of Pentagram given Chord Length

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

Pentagonal Edge Length of Pentagram given Long Chord Slice Formula

LaTeX Go

Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram
l_e(Pentagon) = [phi]*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 Pentagonal Edge Length of Pentagram given Long Chord Slice?

Pentagonal Edge Length of Pentagram given Long Chord Slice calculator uses Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram to calculate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram given Long Chord Slice formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the long chord slice of the Pentagram. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Pentagram given Long Chord Slice using this online calculator? To use this online calculator for Pentagonal Edge Length of Pentagram given Long Chord Slice, enter Long Chord Slice of Pentagram (l_{Long Chord Slice}) and hit the calculate button. Here is how the Pentagonal Edge Length of Pentagram given Long Chord Slice calculation can be explained with given input values -> 9.708204 = [phi]*6.

FAQ

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

The Pentagonal Edge Length of Pentagram given Long Chord Slice formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the long chord slice of the Pentagram and is represented as l_e(Pentagon) = [phi]*l_{Long Chord Slice} or Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram. 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 Pentagonal Edge Length of Pentagram given Long Chord Slice?

The Pentagonal Edge Length of Pentagram given Long Chord Slice formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the long chord slice of the Pentagram is calculated using Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram. To calculate Pentagonal Edge Length of Pentagram given Long Chord Slice, you need Long Chord Slice of Pentagram (l_{Long Chord Slice}). With our tool, you need to enter the respective value for 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 Pentagonal Edge Length of Pentagram?

In this formula, Pentagonal Edge Length of Pentagram uses Long Chord Slice of Pentagram. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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