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Area of Golden Rectangle given Diagonal Formula

GoArea of Golden Rectangle Formula

GoArea of Golden Rectangle given Breadth 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{[phi]}{1 + {[phi]}^{2}} \cdot d^{2}

A - Area of Golden Rectangle?d - Diagonal of Golden Rectangle?[phi] - Golden ratio?[phi] - Golden ratio?

Area of Golden Rectangle given Diagonal Example

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

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

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

64.3988 = \frac{1.618}{1 + {1.618}^{2}} \cdot 12^{2}

64.3988m² = \frac{1.618}{1 + {1.618}^{2}} \cdot {12m}^{2}

64.3988 = \frac{1.618}{1 + {1.618}^{2}} \cdot 12^{2}

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Area of Golden Rectangle given Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{[phi]}{1 + {[phi]}^{2}} \cdot {12m}^{2}

Next Step Substitute values of Constants

∴

A = \frac{1.618}{1 + {1.618}^{2}} \cdot {12m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{1.618}{1 + {1.618}^{2}} \cdot 12^{2}

Next Step Evaluate

∴

A = 64.3987577519939m²

LAST Step Rounding Answer

∴

A = 64.3988m²

Area of Golden Rectangle given Diagonal 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

Diagonal of Golden Rectangle

The Diagonal of Golden Rectangle is the distance between any pair of opposite vertices of Golden Rectangle.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 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

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

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

Go Area of Golden Rectangle given Breadth

A = [phi] \cdot b^{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 given Diagonal?

Area of Golden Rectangle given Diagonal evaluator uses Area of Golden Rectangle = [phi]/(1+[phi]^2)*Diagonal of Golden Rectangle^2 to evaluate the Area of Golden Rectangle, The Area of Golden Rectangle given Diagonal formula is defined as the total quantity of plane enclosed by the boundary of the Golden Rectangle and calculated using the diagonal of the Golden Rectangle. Area of Golden Rectangle is denoted by A symbol.

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

FAQs on Area of Golden Rectangle given Diagonal

What is the formula to find Area of Golden Rectangle given Diagonal?

The formula of Area of Golden Rectangle given Diagonal is expressed as Area of Golden Rectangle = [phi]/(1+[phi]^2)*Diagonal of Golden Rectangle^2. Here is an example- 64.39876 = [phi]/(1+[phi]^2)*12^2.

How to calculate Area of Golden Rectangle given Diagonal?

With Diagonal of Golden Rectangle (d) we can find Area of Golden Rectangle given Diagonal using the formula - Area of Golden Rectangle = [phi]/(1+[phi]^2)*Diagonal of Golden Rectangle^2. This formula also uses Golden ratio, 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=(Length of Golden Rectangle^2)/[phi]
Area of Golden Rectangle=[phi]*Breadth of Golden Rectangle^2
Area of Golden Rectangle=[phi]*(Perimeter of Golden Rectangle/(2*(1+[phi])))^2

Can the Area of Golden Rectangle given Diagonal be negative?

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

Which unit is used to measure Area of Golden Rectangle given Diagonal?

Area of Golden Rectangle given Diagonal 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 given Diagonal can be measured.

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