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Diagonal of Golden Rectangle given Area Formula

GoDiagonal of Golden Rectangle Formula

GoDiagonal of Golden Rectangle given Breadth Formula

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

d = \sqrt{([phi] + \frac{1}{[phi]}) \cdot A}

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

Diagonal of Golden Rectangle given Area Example

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

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

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

11.5829 = \sqrt{(1.618 + \frac{1}{1.618}) \cdot 60}

11.5829m = \sqrt{(1.618 + \frac{1}{1.618}) \cdot 60m²}

11.5829 = \sqrt{(1.618 + \frac{1}{1.618}) \cdot 60}

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Diagonal of Golden Rectangle given Area Solution

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

FIRST Step Consider the formula

d = \sqrt{([phi] + \frac{1}{[phi]}) \cdot A}

Next Step Substitute values of Variables

∴

d = \sqrt{([phi] + \frac{1}{[phi]}) \cdot 60m²}

Next Step Substitute values of Constants

∴

d = \sqrt{(1.618 + \frac{1}{1.618}) \cdot 60m²}

Next Step Prepare to Evaluate

∴

d = \sqrt{(1.618 + \frac{1}{1.618}) \cdot 60}

Next Step Evaluate

∴

d = 11.5829218528827m

LAST Step Rounding Answer

∴

d = 11.5829m

Diagonal of Golden Rectangle given Area Formula Elements

Variables

Constants

Functions

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

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

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

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 Diagonal of Golden Rectangle

Go Diagonal of Golden Rectangle

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

Go Diagonal of Golden Rectangle given Breadth

d = \sqrt{{[phi]}^{2} + 1} \cdot b

Go Diagonal of Golden Rectangle given Perimeter

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

How to Evaluate Diagonal of Golden Rectangle given Area?

Diagonal of Golden Rectangle given Area evaluator uses Diagonal of Golden Rectangle = sqrt(([phi]+1/[phi])*Area of Golden Rectangle) to evaluate the Diagonal of Golden Rectangle, The Diagonal of Golden Rectangle given Area formula is defined as the distance between any pair of opposite vertices of the Golden Rectangle and calculated using the area of the Golden Rectangle. Diagonal of Golden Rectangle is denoted by d symbol.

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

FAQs on Diagonal of Golden Rectangle given Area

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

The formula of Diagonal of Golden Rectangle given Area is expressed as Diagonal of Golden Rectangle = sqrt(([phi]+1/[phi])*Area of Golden Rectangle). Here is an example- 11.58292 = sqrt(([phi]+1/[phi])*60).

How to calculate Diagonal of Golden Rectangle given Area?

With Area of Golden Rectangle (A) we can find Diagonal of Golden Rectangle given Area using the formula - Diagonal of Golden Rectangle = sqrt(([phi]+1/[phi])*Area of Golden Rectangle). This formula also uses Golden ratio, Golden ratio constant(s) and Square Root (sqrt) function(s).

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

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

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

Can the Diagonal of Golden Rectangle given Area be negative?

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

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

Diagonal of Golden Rectangle given Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal of Golden Rectangle given Area can be measured.

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