Chord Length of Pentagram given Perimeter and Long Chord Slice Calculator

✖The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.ⓘ Perimeter of Pentagram [P]			+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 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 given Perimeter and Long Chord Slice [l_c]

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Chord Length of Pentagram given Perimeter and Long Chord Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
l_c = (P*[phi])/10+l_{Long Chord Slice}
This formula uses 1 Constants, 3 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

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.
Perimeter of Pentagram - (Measured in Meter) - The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.
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

Perimeter of Pentagram: 60 Meter --> 60 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_c = (P*[phi])/10+l_{Long Chord Slice} --> (60*[phi])/10+6

Evaluating ... ...

l_c = 15.7082039324994

STEP 3: Convert Result to Output's Unit

15.7082039324994 Meter --> No Conversion Required

FINAL ANSWER

15.7082039324994 ≈ 15.7082 Meter <-- Chord Length 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

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< Chord Length 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

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

Chord Length of Pentagram given Perimeter

LaTeX Go Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])

Chord Length of Pentagram given Perimeter and Long Chord Slice Formula

LaTeX Go

Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram
l_c = (P*[phi])/10+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 Chord Length of Pentagram given Perimeter and Long Chord Slice?

Chord Length of Pentagram given Perimeter and Long Chord Slice calculator uses Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram to calculate the Chord Length of Pentagram, The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram. Chord Length of Pentagram is denoted by l_c symbol.

How to calculate Chord Length of Pentagram given Perimeter and Long Chord Slice using this online calculator? To use this online calculator for Chord Length of Pentagram given Perimeter and Long Chord Slice, enter Perimeter of Pentagram (P) & Long Chord Slice of Pentagram (l_{Long Chord Slice}) and hit the calculate button. Here is how the Chord Length of Pentagram given Perimeter and Long Chord Slice calculation can be explained with given input values -> 15.7082 = (60*[phi])/10+6.

FAQ

What is Chord Length of Pentagram given Perimeter and Long Chord Slice?

The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram and is represented as l_c = (P*[phi])/10+l_{Long Chord Slice} or Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram. The Perimeter of Pentagram is the total length of all the boundary lines of the 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 Chord Length of Pentagram given Perimeter and Long Chord Slice?

The Chord Length of Pentagram given Perimeter and Long Chord Slice formula is defined as the diagonal length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the perimeter and long chord slice of the Pentagram is calculated using Chord Length of Pentagram = (Perimeter of Pentagram*[phi])/10+Long Chord Slice of Pentagram. To calculate Chord Length of Pentagram given Perimeter and Long Chord Slice, you need Perimeter of Pentagram (P) & Long Chord Slice of Pentagram (l_{Long Chord Slice}). With our tool, you need to enter the respective value for Perimeter 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 Chord Length of Pentagram?

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

Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram
Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram
Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])

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