Long Chord Slice of Pentagram given Short Chord Slice Calculator

✖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%

✖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 given Short Chord Slice [l_{Long Chord Slice}]

⎘ Copy

👎

Formula

✖

Long Chord Slice of Pentagram given Short Chord Slice

Formula

`"l"_{"Long Chord Slice"} = "[phi]"*"l"_{"Short Chord Slice"}`

Example

`"6.472136m"="[phi]"*"4m"`

Calculator

LaTeX

Reset

👍

Download Pentagram Formula PDF PDF Image

Long Chord Slice of Pentagram given Short Chord Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram
l_{Long Chord Slice} = [phi]*l_{Short Chord Slice}
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Long Chord Slice} = [phi]*l_{Short Chord Slice} --> [phi]*4

Evaluating ... ...

l_{Long Chord Slice} = 6.47213595499958

STEP 3: Convert Result to Output's Unit

6.47213595499958 Meter --> No Conversion Required

FINAL ANSWER

6.47213595499958 ≈ 6.472136 Meter <-- Long Chord Slice of Pentagram

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Pentagram » Chord Slice of Pentagram » Long Chord Slice of Pentagram » Long Chord Slice of Pentagram given Short Chord Slice

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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

Long Chord Slice of Pentagram given Short Chord Slice Formula

Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram
l_{Long Chord Slice} = [phi]*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 Long Chord Slice of Pentagram given Short Chord Slice?

Long Chord Slice of Pentagram given Short Chord Slice calculator uses Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram to calculate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram given Short Chord Slice 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 calculated using the short chord slice of the pentagon. Long Chord Slice of Pentagram is denoted by l_{Long Chord Slice} symbol.

How to calculate Long Chord Slice of Pentagram given Short Chord Slice using this online calculator? To use this online calculator for Long Chord Slice of Pentagram given Short Chord Slice, enter Short Chord Slice of Pentagram (l_{Short Chord Slice}) and hit the calculate button. Here is how the Long Chord Slice of Pentagram given Short Chord Slice calculation can be explained with given input values -> 6.472136 = [phi]*4.

FAQ

What is Long Chord Slice of Pentagram given Short Chord Slice?

The Long Chord Slice of Pentagram given Short Chord Slice 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 calculated using the short chord slice of the pentagon and is represented as l_{Long Chord Slice} = [phi]*l_{Short Chord Slice} or Long Chord Slice of Pentagram = [phi]*Short Chord Slice of 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 Long Chord Slice of Pentagram given Short Chord Slice?

The Long Chord Slice of Pentagram given Short Chord Slice 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 calculated using the short chord slice of the pentagon is calculated using Long Chord Slice of Pentagram = [phi]*Short Chord Slice of Pentagram. To calculate Long Chord Slice of Pentagram given Short Chord Slice, you need Short Chord Slice of Pentagram (l_{Short Chord Slice}). With our tool, you need to enter the respective value for 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 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 = 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))))))

Home

FREE PDFs

🔍 Search