Pentagonal Edge Length of Pentagram 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}]			+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 [l_{Short Chord Slice}]			+10% -10%

✖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)]

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Pentagonal Edge Length of Pentagram Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Long Chord Slice of Pentagram: 6 Meter --> 6 Meter No Conversion Required
Short Chord Slice of Pentagram: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = l_{Long Chord Slice}+l_{Short Chord Slice} --> 6+4

Evaluating ... ...

l_e(Pentagon) = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Pentagonal Edge Length of Pentagram

(Calculation completed in 00.021 seconds)

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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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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]

< 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

Pentagonal Edge Length of Pentagram Formula

LaTeX Go

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

Pentagonal Edge Length of Pentagram calculator uses Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram to calculate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

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

FAQ

What is Pentagonal Edge Length of Pentagram?

The Pentagonal Edge Length of Pentagram formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals and is represented as l_e(Pentagon) = l_{Long Chord Slice}+l_{Short Chord Slice} or Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short 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 & 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.

How to calculate Pentagonal Edge Length of Pentagram?

The Pentagonal Edge Length of Pentagram formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals is calculated using Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram. To calculate Pentagonal Edge Length of Pentagram, you need Long Chord Slice of Pentagram (l_{Long Chord Slice}) & Short Chord Slice of Pentagram (l_{Short Chord Slice}). With our tool, you need to enter the respective value for Long Chord Slice of Pentagram & Short 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 & Short 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 = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram-Long Chord Slice of Pentagram

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