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Area of Golden Rectangle Formula

GoArea of Golden Rectangle given Breadth Formula

GoArea of Golden Rectangle given Diagonal Formula

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The Area of Golden Rectangle is the total quantity of plane enclosed by the boundary of Golden Rectangle. Check FAQs

A = \frac{l^{2}}{[phi]}

A - Area of Golden Rectangle?l - Length of Golden Rectangle?[phi] - Golden ratio?

Area of Golden Rectangle Example

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

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

Here is how the Area of Golden Rectangle equation looks like.

61.8034 = \frac{10^{2}}{1.618}

61.8034m² = \frac{{10m}^{2}}{1.618}

61.8034 = \frac{10^{2}}{1.618}

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Area of Golden Rectangle Solution

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

FIRST Step Consider the formula

A = \frac{l^{2}}{[phi]}

Next Step Substitute values of Variables

∴

A = \frac{{10m}^{2}}{[phi]}

Next Step Substitute values of Constants

∴

A = \frac{{10m}^{2}}{1.618}

Next Step Prepare to Evaluate

∴

A = \frac{10^{2}}{1.618}

Next Step Evaluate

∴

A = 61.8033988749895m²

LAST Step Rounding Answer

∴

A = 61.8034m²

Area of Golden Rectangle Formula Elements

Variables

Constants

Area of Golden Rectangle

The Area of Golden Rectangle is the total quantity of plane enclosed by the boundary of Golden Rectangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Golden Rectangle

Length of Golden Rectangle

The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Golden Rectangle

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

Other Formulas to find Area of Golden Rectangle

Go Area of Golden Rectangle given Breadth

A = [phi] \cdot b^{2}

Go Area of Golden Rectangle given Diagonal

A = \frac{[phi]}{1 + {[phi]}^{2}} \cdot d^{2}

Go Area of Golden Rectangle given Perimeter

A = [phi] \cdot {(\frac{P}{2 \cdot (1 + [phi])})}^{2}

How to Evaluate Area of Golden Rectangle?

Area of Golden Rectangle evaluator uses Area of Golden Rectangle = (Length of Golden Rectangle^2)/[phi] to evaluate the Area of Golden Rectangle, The Area of Golden Rectangle formula is defined as the total quantity of plane enclosed by the boundary of Golden Rectangle. Area of Golden Rectangle is denoted by A symbol.

How to evaluate Area of Golden Rectangle using this online evaluator? To use this online evaluator for Area of Golden Rectangle, enter Length of Golden Rectangle (l) and hit the calculate button.

FAQs on Area of Golden Rectangle

What is the formula to find Area of Golden Rectangle?

The formula of Area of Golden Rectangle is expressed as Area of Golden Rectangle = (Length of Golden Rectangle^2)/[phi]. Here is an example- 61.8034 = (10^2)/[phi].

How to calculate Area of Golden Rectangle?

With Length of Golden Rectangle (l) we can find Area of Golden Rectangle using the formula - Area of Golden Rectangle = (Length of Golden Rectangle^2)/[phi]. This formula also uses Golden ratio constant(s).

What are the other ways to Calculate Area of Golden Rectangle?

Here are the different ways to Calculate Area of Golden Rectangle-

Area of Golden Rectangle=[phi]*Breadth of Golden Rectangle^2
Area of Golden Rectangle=[phi]/(1+[phi]^2)*Diagonal of Golden Rectangle^2
Area of Golden Rectangle=[phi]*(Perimeter of Golden Rectangle/(2*(1+[phi])))^2

Can the Area of Golden Rectangle be negative?

No, the Area of Golden Rectangle, measured in Area cannot be negative.

Which unit is used to measure Area of Golden Rectangle?

Area of Golden Rectangle 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 Golden Rectangle can be measured.

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