Long Chord Slice of Pentagram Calculator

✖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 [l_e(Pentagon)]

+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}]

⎘ Copy

👎

Formula

✖

Long Chord Slice of Pentagram

Formula

`"l"_{"Long Chord Slice"} = "l"_{"e(Pentagon)"}/"[phi]"`

Example

`"6.18034m"="10m"/"[phi]"`

Calculator

LaTeX

Reset

👍

Download Pentagram Formula PDF PDF Image

Long Chord Slice of Pentagram Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Chord Slice of Pentagram = Pentagonal Edge Length of Pentagram/[phi]
l_{Long Chord Slice} = l_e(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

l_{Long Chord Slice} = l_e(Pentagon)/[phi] --> 10/[phi]

Evaluating ... ...

l_{Long 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 00.004 seconds)

You are here -

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

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

< 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]
l_{Long Chord Slice} = l_e(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 l_{Long 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 (l_e(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 l_{Long Chord Slice} = l_e(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 (l_e(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

Home

FREE PDFs

🔍 Search