Long Chord Slice of Pentagram given Area Calculator

✖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 Area [l_{Long Chord Slice}]

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Formula

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Long Chord Slice of Pentagram given Area

Formula

`"l"_{"Long Chord Slice"} = 1/"[phi]"*sqrt((2*"A")/(sqrt(5*(5-(2*sqrt(5))))))`

Example

`"6.133372m"=1/"[phi]"*sqrt((2*"80m²")/(sqrt(5*(5-(2*sqrt(5))))))`

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Long Chord Slice of Pentagram given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
l_{Long Chord Slice} = 1/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5))))))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Pentagram - (Measured in Square Meter) - The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

STEP 1: Convert Input(s) to Base Unit

Area of Pentagram: 80 Square Meter --> 80 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Long Chord Slice} = 1/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) --> 1/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5))))))

Evaluating ... ...

l_{Long Chord Slice} = 6.13337233067733

STEP 3: Convert Result to Output's Unit

6.13337233067733 Meter --> No Conversion Required

FINAL ANSWER

6.13337233067733 ≈ 6.133372 Meter <-- Long Chord Slice of Pentagram

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ 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 given Area Formula

Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
l_{Long Chord Slice} = 1/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5))))))

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 Area?

Long Chord Slice of Pentagram given Area calculator uses Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to calculate the Long Chord Slice of Pentagram, The Long Chord Slice of Pentagram given Area 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 area of the Pentagram. Long Chord Slice of Pentagram is denoted by l_{Long Chord Slice} symbol.

How to calculate Long Chord Slice of Pentagram given Area using this online calculator? To use this online calculator for Long Chord Slice of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button. Here is how the Long Chord Slice of Pentagram given Area calculation can be explained with given input values -> 6.133372 = 1/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

FAQ

What is Long Chord Slice of Pentagram given Area?

The Long Chord Slice of Pentagram given Area 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 area of the Pentagram and is represented as l_{Long Chord Slice} = 1/[phi]*sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) or Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

How to calculate Long Chord Slice of Pentagram given Area?

The Long Chord Slice of Pentagram given Area 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 area of the Pentagram is calculated using Long Chord Slice of Pentagram = 1/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). To calculate Long Chord Slice of Pentagram given Area, you need Area of Pentagram (A). With our tool, you need to enter the respective value for Area 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 Area of Pentagram. We can use 8 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 = Pentagonal Edge Length of Pentagram-Short Chord Slice of Pentagram
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

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