Pentagonal Edge Length 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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✖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 Chord Length [l_e(Pentagon)]

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Pentagonal Edge Length of Pentagram given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
l_e(Pentagon) = l_c/[phi]
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.
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_e(Pentagon) = l_c/[phi] --> 16/[phi]

Evaluating ... ...

l_e(Pentagon) = 9.88854381999832

STEP 3: Convert Result to Output's Unit

9.88854381999832 Meter --> No Conversion Required

FINAL ANSWER

9.88854381999832 ≈ 9.888544 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]

< 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 given Chord Length Formula

LaTeX Go

Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
l_e(Pentagon) = l_c/[phi]

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 Chord Length?

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

How to calculate Pentagonal Edge Length of Pentagram given Chord Length using this online calculator? To use this online calculator for Pentagonal Edge Length of Pentagram given Chord Length, enter Chord Length of Pentagram (l_c) and hit the calculate button. Here is how the Pentagonal Edge Length of Pentagram given Chord Length calculation can be explained with given input values -> 9.888544 = 16/[phi].

FAQ

What is Pentagonal Edge Length of Pentagram given Chord Length?

The Pentagonal Edge Length of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon from which the Pentagram is constructed using its diagonals and calculated using the chord length of the Pentagram and is represented as l_e(Pentagon) = l_c/[phi] or Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]. 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 Pentagonal Edge Length of Pentagram given Chord Length?

The Pentagonal Edge Length of Pentagram given Chord Length formula is defined as the edge length of the regular pentagon from which the Pentagram is constructed using its diagonals and calculated using the chord length of the Pentagram is calculated using Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]. To calculate Pentagonal Edge Length 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 Pentagonal Edge Length of Pentagram?

In this formula, Pentagonal Edge Length of Pentagram uses Chord Length 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-Long Chord Slice of Pentagram

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