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Diagonal of Golden Rectangle given Breadth Formula

GoDiagonal of Golden Rectangle Formula

GoDiagonal of Golden Rectangle given Perimeter 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]}^{2} + 1} \cdot b

d - Diagonal of Golden Rectangle?b - Breadth of Golden Rectangle?[phi] - Golden ratio?

Diagonal of Golden Rectangle given Breadth Example

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

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

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

11.4127 = \sqrt{{1.618}^{2} + 1} \cdot 6

11.4127m = \sqrt{{1.618}^{2} + 1} \cdot 6m

11.4127 = \sqrt{{1.618}^{2} + 1} \cdot 6

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Diagonal of Golden Rectangle given Breadth Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{{[phi]}^{2} + 1} \cdot 6m

Next Step Substitute values of Constants

∴

d = \sqrt{{1.618}^{2} + 1} \cdot 6m

Next Step Prepare to Evaluate

∴

d = \sqrt{{1.618}^{2} + 1} \cdot 6

Next Step Evaluate

∴

d = 11.4126781955418m

LAST Step Rounding Answer

∴

d = 11.4127m

Diagonal of Golden Rectangle given Breadth 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

Breadth of Golden Rectangle

The Breadth of Golden Rectangle is the length of the shortest edge of the Golden Rectangle.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth 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

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 Perimeter

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

Go Diagonal of Golden Rectangle given Area

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

How to Evaluate Diagonal of Golden Rectangle given Breadth?

Diagonal of Golden Rectangle given Breadth evaluator uses Diagonal of Golden Rectangle = sqrt([phi]^2+1)*Breadth of Golden Rectangle to evaluate the Diagonal of Golden Rectangle, The Diagonal of Golden Rectangle given Breadth formula is defined as the distance between any pair of opposite vertices of the Golden Rectangle and calculated using the breadth of the Golden Rectangle. Diagonal of Golden Rectangle is denoted by d symbol.

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

FAQs on Diagonal of Golden Rectangle given Breadth

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

The formula of Diagonal of Golden Rectangle given Breadth is expressed as Diagonal of Golden Rectangle = sqrt([phi]^2+1)*Breadth of Golden Rectangle. Here is an example- 11.41268 = sqrt([phi]^2+1)*6.

How to calculate Diagonal of Golden Rectangle given Breadth?

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

Can the Diagonal of Golden Rectangle given Breadth be negative?

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

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

Diagonal of Golden Rectangle given Breadth 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 Breadth can be measured.

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