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Area of Pentagram Formula

GoArea of Pentagram given Chord Length Formula

GoArea of Pentagram given Long Chord Slice 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 = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l e(Pentagon)}^{2}}{2}

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

Area of Pentagram Example

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

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

Here is how the Area of Pentagram equation looks like.

81.2299 = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{2}

81.2299m² = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{10m}^{2}}{2}

81.2299 = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{2}

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Area of Pentagram Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{10m}^{2}}{2}

Next Step Prepare to Evaluate

∴

A = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{2}

Next Step Evaluate

∴

A = 81.2299240582266m²

LAST Step Rounding Answer

∴

A = 81.2299m²

Area of Pentagram Formula Elements

Variables

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

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

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 given Chord Length

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

Go Area of Pentagram given Long Chord Slice

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

How to Evaluate Area of Pentagram?

Area of Pentagram evaluator uses Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2 to evaluate the Area of Pentagram, The Area of Pentagram formula is defined as the total quantity of plane enclosed by the boundary of the entire Pentagram shape. Area of Pentagram is denoted by A symbol.

How to evaluate Area of Pentagram using this online evaluator? To use this online evaluator for Area of Pentagram, enter Pentagonal Edge Length of Pentagram (l_e(Pentagon)) and hit the calculate button.

FAQs on Area of Pentagram

What is the formula to find Area of Pentagram?

The formula of Area of Pentagram is expressed as Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2. Here is an example- 81.22992 = sqrt(5*(5-(2*sqrt(5))))*10^2/2.

How to calculate Area of Pentagram?

With Pentagonal Edge Length of Pentagram (l_e(Pentagon)) we can find Area of Pentagram using the formula - Area of Pentagram = sqrt(5*(5-(2*sqrt(5))))*Pentagonal Edge Length of Pentagram^2/2. This formula also uses Square Root (sqrt) 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))))/2*(Chord Length of Pentagram/[phi])^2
Area of Pentagram=(sqrt(5*(5-(2*sqrt(5)))))/2*(Long Chord Slice of Pentagram*[phi])^2

Can the Area of Pentagram be negative?

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

Which unit is used to measure Area of Pentagram?

Area of Pentagram 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 can be measured.

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