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Perimeter of Pentagram given Area Formula

GoPerimeter of Pentagram Formula

GoPerimeter of Pentagram given Pentagonal Edge Length Formula

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The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram. Check FAQs

P = \frac{10}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

P - Perimeter of Pentagram?A - Area of Pentagram?[phi] - Golden ratio?

Perimeter of Pentagram given Area Example

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Here is how the Perimeter of Pentagram given Area equation looks like with Values.

Here is how the Perimeter of Pentagram given Area equation looks like with Units.

Here is how the Perimeter of Pentagram given Area equation looks like.

61.3337 = \frac{10}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

61.3337m = \frac{10}{1.618} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

61.3337 = \frac{10}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

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Perimeter of Pentagram given Area Solution

Follow our step by step solution on how to calculate Perimeter of Pentagram given Area?

FIRST Step Consider the formula

P = \frac{10}{[phi]} \cdot \sqrt{\frac{2 \cdot A}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Substitute values of Variables

∴

P = \frac{10}{[phi]} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Substitute values of Constants

∴

P = \frac{10}{1.618} \cdot \sqrt{\frac{2 \cdot 80m²}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Prepare to Evaluate

∴

P = \frac{10}{1.618} \cdot \sqrt{\frac{2 \cdot 80}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}}

Next Step Evaluate

∴

P = 61.3337233067733m

LAST Step Rounding Answer

∴

P = 61.3337m

Perimeter of Pentagram given Area Formula Elements

Variables

Constants

Functions

Perimeter of Pentagram

The Perimeter of Pentagram is the total length of all the boundary lines of the Pentagram.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

Golden ratio

The Golden ratio occurs when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

Symbol: [phi]

Value: 1.61803398874989484820458683436563811

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 Perimeter of Pentagram

Go Perimeter of Pentagram

P = 10 \cdot l Long Chord Slice

Go Perimeter of Pentagram given Pentagonal Edge Length

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

How to Evaluate Perimeter of Pentagram given Area?

Perimeter of Pentagram given Area evaluator uses Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))) to evaluate the Perimeter of Pentagram, The Perimeter of Pentagram given Area formula is defined as the total length of all the boundary lines of the Pentagram and calculated using the area of the Pentagram. Perimeter of Pentagram is denoted by P symbol.

How to evaluate Perimeter of Pentagram given Area using this online evaluator? To use this online evaluator for Perimeter of Pentagram given Area, enter Area of Pentagram (A) and hit the calculate button.

FAQs on Perimeter of Pentagram given Area

What is the formula to find Perimeter of Pentagram given Area?

The formula of Perimeter of Pentagram given Area is expressed as Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). Here is an example- 61.33372 = 10/[phi]*sqrt((2*80)/(sqrt(5*(5-(2*sqrt(5)))))).

How to calculate Perimeter of Pentagram given Area?

With Area of Pentagram (A) we can find Perimeter of Pentagram given Area using the formula - Perimeter of Pentagram = 10/[phi]*sqrt((2*Area of Pentagram)/(sqrt(5*(5-(2*sqrt(5)))))). This formula also uses Golden ratio constant(s) and Square Root Function function(s).

What are the other ways to Calculate Perimeter of Pentagram?

Here are the different ways to Calculate Perimeter of Pentagram-

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

Can the Perimeter of Pentagram given Area be negative?

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

Which unit is used to measure Perimeter of Pentagram given Area?

Perimeter 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 Perimeter of Pentagram given Area can be measured.

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