Long Chord Slice of Pentagram Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]
lLong Chord Slice = le(Pentagon)/[phi]
This formula uses 1 Constants, 2 Variables
Constants Used
[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Pentagonal Edge Length of Pentagram: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
lLong Chord Slice = le(Pentagon)/[phi] --> 10/[phi]
Evaluating ... ...
lLong Chord Slice = 6.18033988749895
STEP 3: Convert Result to Output's Unit
6.18033988749895 Meter --> No Conversion Required
FINAL ANSWER
6.18033988749895 6.18034 Meter <-- Long Chord Slice of Pentagram
(Calculation completed in 00.020 seconds)

Credits

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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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Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

6 Long Chord Slice of Pentagram Calculators

Long Chord Slice of Pentagram given Area
​ Go Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
Long Chord Slice of Pentagram given Short Chord Slice and Pentagonal Edge Length
​ Go Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram
Long Chord Slice of Pentagram given Chord Length
​ Go Long Chord Slice of Pentagram = Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
Long Chord Slice of Pentagram
​ Go Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]
Long Chord Slice of Pentagram given Short Chord Slice
​ Go Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram
Long Chord Slice of Pentagram given Perimeter
​ Go Long Chord Slice of Pentagram = Perimeter of Pentagram/10

8 Chord Slice of Pentagram Calculators

Long Chord Slice of Pentagram given Area
​ Go Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
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
Long Chord Slice of Pentagram given Chord Length
​ Go Long Chord Slice of Pentagram = Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
Long Chord Slice of Pentagram
​ Go Long Chord Slice of Pentagram = Pentagonal Edge Length 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
Long Chord Slice of Pentagram given Perimeter
​ Go Long Chord Slice of Pentagram = Perimeter of Pentagram/10

Long Chord Slice of Pentagram Formula

Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]
lLong Chord Slice = le(Pentagon)/[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 Long Chord Slice of Pentagram?

Long Chord Slice of Pentagram calculator uses Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi] to calculate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram formula is defined as 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 is denoted by lLong Chord Slice symbol.

How to calculate Long Chord Slice of Pentagram using this online calculator? To use this online calculator for Long Chord Slice of Pentagram, enter Pentagonal Edge Length of Pentagram (le(Pentagon)) and hit the calculate button. Here is how the Long Chord Slice of Pentagram calculation can be explained with given input values -> 6.18034 = 10/[phi].

FAQ

What is Long Chord Slice of Pentagram?
The Long Chord Slice of Pentagram formula is defined as 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 and is represented as lLong Chord Slice = le(Pentagon)/[phi] or Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]. Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.
How to calculate Long Chord Slice of Pentagram?
The Long Chord Slice of Pentagram formula is defined as 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 is calculated using Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]. To calculate Long Chord Slice of Pentagram, you need Pentagonal Edge Length of Pentagram (le(Pentagon)). With our tool, you need to enter the respective value for Pentagonal Edge 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 Long Chord Slice of Pentagram?
In this formula, Long Chord Slice of Pentagram uses Pentagonal Edge Length of Pentagram. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Long Chord Slice of Pentagram = Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
  • Long Chord Slice of Pentagram = Perimeter of Pentagram/10
  • Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram
  • Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram
  • Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
  • Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
  • Long Chord Slice of Pentagram = Chord Length of Pentagram-Pentagonal Edge Length of Pentagram
  • Long Chord Slice of Pentagram = Perimeter of Pentagram/10
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