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Pentagonal Edge Length of Pentagram given Area Formula

GoPentagonal Edge Length of Pentagram Formula

GoPentagonal Edge Length of Pentagram given Chord Length Formula

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Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals. Check FAQs

l e(Pentagon) = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

l_e(Pentagon) - Pentagonal Edge Length of Pentagram?A - Area of Pentagram?

Pentagonal Edge Length of Pentagram given Area Example

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Here is how the Pentagonal Edge Length of Pentagram given Area equation looks like with Values.

Here is how the Pentagonal Edge Length of Pentagram given Area equation looks like with Units.

Here is how the Pentagonal Edge Length of Pentagram given Area equation looks like.

9.924 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

9.924m = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

9.924 = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

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Pentagonal Edge Length of Pentagram given Area Solution

Follow our step by step solution on how to calculate Pentagonal Edge Length of Pentagram given Area?

FIRST Step Consider the formula

l e(Pentagon) = \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Substitute values of Variables

∴

l e(Pentagon) = \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Prepare to Evaluate

∴

l e(Pentagon) = \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Evaluate

∴

l e(Pentagon) = 9.92400489669408m

LAST Step Rounding Answer

∴

l e(Pentagon) = 9.924m

Pentagonal Edge Length of Pentagram given Area Formula Elements

Variables

Functions

Pentagonal Edge Length of Pentagram

Pentagonal Edge Length of Pentagram is the edge length of regular pentagon from which the Pentagram is constructed using it's diagonals.

Symbol: l_e(Pentagon)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Edge Length of Pentagram

Area of Pentagram

The Area of Pentagram is the total quantity of plane enclosed by the boundary of the entire Pentagram shape.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagram

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.

Syntax: sqrt(Number)

Other Formulas to find Pentagonal Edge Length of Pentagram

Go Pentagonal Edge Length of Pentagram

l e(Pentagon) = l Long Chord Slice + l Short Chord Slice

Go Pentagonal Edge Length of Pentagram given Chord Length

l e(Pentagon) = \frac{l c}{[phi]}

Go Pentagonal Edge Length of Pentagram given Perimeter

l e(Pentagon) = \frac{P \cdot [phi]}{10}

Other formulas in Edge Length of Pentagram category

Go Chord Length of Pentagram

l c = [phi] \cdot l e(Pentagon)

Go Chord Length of Pentagram given Area

l c = \frac{[phi] + 1}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Go Chord Length of Pentagram given Long Chord Slice

l c = l e(Pentagon) + l Long Chord Slice

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

l c = (2 \cdot l Long Chord Slice) + l Short Chord Slice

How to Evaluate Pentagonal Edge Length of Pentagram given Area?

Pentagonal Edge Length of Pentagram given Area evaluator uses Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to evaluate 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 evaluate Pentagonal Edge Length of Pentagram given Area using this online evaluator? To use this online evaluator for Pentagonal Edge Length of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button.

FAQs on Pentagonal Edge Length of Pentagram given Area

What is the formula to find Pentagonal Edge Length of Pentagram given Area?

The formula of Pentagonal Edge Length of Pentagram given Area is expressed as Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). Here is an example- 9.924005 = sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

How to calculate Pentagonal Edge Length of Pentagram given Area?

With Area of Pentagram (A) we can find Pentagonal Edge Length of Pentagram given Area using the formula - Pentagonal Edge Length of Pentagram = sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagonal Edge Length of Pentagram?

Here are the different ways to Calculate Pentagonal Edge Length of Pentagram-

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

Can the Pentagonal Edge Length of Pentagram given Area be negative?

No, the Pentagonal Edge Length of Pentagram given Area, measured in Length cannot be negative.

Which unit is used to measure Pentagonal Edge Length of Pentagram given Area?

Pentagonal Edge Length of Pentagram given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pentagonal Edge Length of Pentagram given Area can be measured.

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