Pentagonal Edge Length of Pentagram given Area 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 given Area [l_e(Pentagon)]

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Formula

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Pentagonal Edge Length of Pentagram given Area

Formula

`"l"_{"e(Pentagon)"} = sqrt((2*"A")/(sqrt(5*(5-(2*sqrt(5))))))`

Example

`"9.924005m"=sqrt((2*"80m²")/(sqrt(5*(5-(2*sqrt(5))))))`

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Pentagonal Edge Length of Pentagram given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
l_e(Pentagon) = sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5))))))
This formula uses 1 Functions, 2 Variables

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

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.
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_e(Pentagon) = sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) --> sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5))))))

Evaluating ... ...

l_e(Pentagon) = 9.92400489669408

STEP 3: Convert Result to Output's Unit

9.92400489669408 Meter --> No Conversion Required

FINAL ANSWER

9.92400489669408 ≈ 9.924005 Meter <-- Pentagonal Edge Length of Pentagram

(Calculation completed in 00.004 seconds)

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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 Edge Length of Pentagram Calculators

Pentagonal Edge Length of Pentagram given Area

Go Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram

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

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram-Long Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Long Chord Slice

Go Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Perimeter

Go Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10

Pentagonal Edge Length of Pentagram given Chord Length

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]

< 9 Edges of Pentagram Calculators

Chord Length of Pentagram given Area

Go Chord Length of Pentagram = ([phi]+1)/[phi]*sqrt((2*Area of Pentagram)/sqrt(5*(5-(2*sqrt(5)))))

Pentagonal Edge Length of Pentagram given Area

Go Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))

Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram

Chord Length of Pentagram given Long Chord Slice

Go Chord Length of Pentagram = Pentagonal Edge Length of Pentagram+Long Chord Slice of Pentagram

Chord Length of Pentagram given Long Chord Slice and Short Chord Slice

Go Chord Length of Pentagram = (2*Long Chord Slice of Pentagram)+Short Chord Slice of Pentagram

Pentagonal Edge Length of Pentagram given Perimeter

Go Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10

Pentagonal Edge Length of Pentagram given Chord Length

Go Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]

Chord Length of Pentagram

Go Chord Length of Pentagram = [phi]*Pentagonal Edge Length of Pentagram

Chord Length of Pentagram given Perimeter

Go Chord Length of Pentagram = Perimeter of Pentagram/10*(1+[phi])

Pentagonal Edge Length of Pentagram given Area Formula

Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5))))))
l_e(Pentagon) = 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 Pentagonal Edge Length of Pentagram given Area?

Pentagonal Edge Length of Pentagram given Area calculator uses Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to calculate the Pentagonal Edge Length of Pentagram, The Pentagonal Edge Length of Pentagram given Area formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the area of the Pentagram. Pentagonal Edge Length of Pentagram is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Pentagram given Area using this online calculator? To use this online calculator for Pentagonal Edge Length of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button. Here is how the Pentagonal Edge Length of Pentagram given Area calculation can be explained with given input values -> 9.924005 = sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

FAQ

What is Pentagonal Edge Length of Pentagram given Area?

The Pentagonal Edge Length of Pentagram given Area formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the area of the Pentagram and is represented as l_e(Pentagon) = sqrt((2*A)/(sqrt(5*(5-(2*sqrt(5)))))) or Pentagonal Edge Length of Pentagram = 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 Pentagonal Edge Length of Pentagram given Area?

The Pentagonal Edge Length of Pentagram given Area formula is defined as the edge length of a regular pentagon from which the Pentagram is constructed using its diagonals, and calculated using the area of the Pentagram is calculated using Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). To calculate Pentagonal Edge Length 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 Pentagonal Edge Length of Pentagram?

In this formula, Pentagonal Edge Length of Pentagram uses Area of Pentagram. We can use 8 other way(s) to calculate the same, which is/are as follows -

Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram-Long Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = [phi]*Long Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10
Pentagonal Edge Length of Pentagram = Long Chord Slice of Pentagram+Short Chord Slice of Pentagram
Pentagonal Edge Length of Pentagram = Chord Length of Pentagram/[phi]
Pentagonal Edge Length of Pentagram = (Perimeter of Pentagram*[phi])/10

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