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Area of Pentagram given Long Chord Slice Formula

GoArea of Pentagram Formula

GoArea of Pentagram given Chord Length Formula

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

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(l Long Chord Slice \cdot [phi])}^{2}

A - Area of Pentagram?l_{Long Chord Slice} - Long Chord Slice of Pentagram?[phi] - Golden ratio?

Area of Pentagram given Long Chord Slice Example

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Here is how the Area of Pentagram given Long Chord Slice equation looks like with Values.

Here is how the Area of Pentagram given Long Chord Slice equation looks like with Units.

Here is how the Area of Pentagram given Long Chord Slice equation looks like.

76.5586 = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 \cdot 1.618)}^{2}

76.5586m² = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6m \cdot 1.618)}^{2}

76.5586 = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 \cdot 1.618)}^{2}

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Area of Pentagram given Long Chord Slice Solution

Follow our step by step solution on how to calculate Area of Pentagram given Long Chord Slice?

FIRST Step Consider the formula

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(l Long Chord Slice \cdot [phi])}^{2}

Next Step Substitute values of Variables

∴

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6m \cdot [phi])}^{2}

Next Step Substitute values of Constants

∴

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6m \cdot 1.618)}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))}}{2} \cdot {(6 \cdot 1.618)}^{2}

Next Step Evaluate

∴

A = 76.5585727516836m²

LAST Step Rounding Answer

∴

A = 76.5586m²

Area of Pentagram given Long Chord Slice Formula Elements

Variables

Constants

Functions

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

Long Chord Slice of Pentagram

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.

Symbol: l_{Long Chord Slice}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Chord Slice 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 Area of Pentagram

Go Area of Pentagram

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

Go Area of Pentagram given Chord Length

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

How to Evaluate Area of Pentagram given Long Chord Slice?

Area of Pentagram given Long Chord Slice evaluator uses Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2 to evaluate the Area of Pentagram, The Area of Pentagram given Long Chord Slice is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape, and calculated by using long chord slice of the Pentagram. Area of Pentagram is denoted by A symbol.

How to evaluate Area of Pentagram given Long Chord Slice using this online evaluator? To use this online evaluator for Area of Pentagram given Long Chord Slice, enter Long Chord Slice of Pentagram (l_{Long Chord Slice}) and hit the calculate button.

FAQs on Area of Pentagram given Long Chord Slice

What is the formula to find Area of Pentagram given Long Chord Slice?

The formula of Area of Pentagram given Long Chord Slice is expressed as Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2. Here is an example- 76.55857 = (sqrt(5*(5-(2*sqrt(5)))))/2*(6*[phi])^2.

How to calculate Area of Pentagram given Long Chord Slice?

With Long Chord Slice of Pentagram (l_{Long Chord Slice}) we can find Area of Pentagram given Long Chord Slice using the formula - Area of Pentagram = (sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2. This formula also uses Golden ratio constant(s) and Square Root Function function(s).

What are the other ways to Calculate Area of Pentagram?

Here are the different ways to Calculate Area of Pentagram-

Area of Pentagram=sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2
Area of Pentagram=sqrt(5*(5-(2*sqrt(5))))/2*(Chord Length of Pentagram/[phi])^2

Can the Area of Pentagram given Long Chord Slice be negative?

No, the Area of Pentagram given Long Chord Slice, measured in Area cannot be negative.

Which unit is used to measure Area of Pentagram given Long Chord Slice?

Area of Pentagram given Long Chord Slice is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Pentagram given Long Chord Slice can be measured.

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