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

STEP 0: Pre-Calculation Summary
Formula Used
Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram
lLong Chord Slice = le(Pentagon)-lShort Chord Slice
This formula uses 3 Variables
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.
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
Pentagonal Edge Length of Pentagram: 10 Meter --> 10 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
lLong Chord Slice = le(Pentagon)-lShort Chord Slice --> 10-4
Evaluating ... ...
lLong Chord Slice = 6
STEP 3: Convert Result to Output's Unit
6 Meter --> No Conversion Required
FINAL ANSWER
6 Meter <-- Long Chord Slice of Pentagram
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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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

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

Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram
lLong Chord Slice = le(Pentagon)-lShort 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 Long Chord Slice of Pentagram given Short Chord Slice and Pentagonal Edge Length?

Long Chord Slice of Pentagram given Short Chord Slice and Pentagonal Edge Length calculator uses Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram to calculate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram given Short Chord Slice and Pentagonal Edge Length 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 calculated using the short chord slice and pentagonal edge length of the pentagram. Long Chord Slice of Pentagram is denoted by lLong Chord Slice symbol.

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

FAQ

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