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Diagonal of Golden Rectangle Formula

GoDiagonal of Golden Rectangle given Breadth 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{1 + \frac{1}{{[phi]}^{2}}} \cdot l

d - Diagonal of Golden Rectangle?l - Length of Golden Rectangle?[phi] - Golden ratio?

Diagonal of Golden Rectangle Example

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

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

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

11.7557 = \sqrt{1 + \frac{1}{{1.618}^{2}}} \cdot 10

11.7557m = \sqrt{1 + \frac{1}{{1.618}^{2}}} \cdot 10m

11.7557 = \sqrt{1 + \frac{1}{{1.618}^{2}}} \cdot 10

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Diagonal of Golden Rectangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{1 + \frac{1}{{[phi]}^{2}}} \cdot 10m

Next Step Substitute values of Constants

∴

d = \sqrt{1 + \frac{1}{{1.618}^{2}}} \cdot 10m

Next Step Prepare to Evaluate

∴

d = \sqrt{1 + \frac{1}{{1.618}^{2}}} \cdot 10

Next Step Evaluate

∴

d = 11.7557050458495m

LAST Step Rounding Answer

∴

d = 11.7557m

Diagonal of Golden Rectangle 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

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

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 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

Go Diagonal of Golden Rectangle given Area

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

How to Evaluate Diagonal of Golden Rectangle?

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

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

FAQs on Diagonal of Golden Rectangle

What is the formula to find Diagonal of Golden Rectangle?

The formula of Diagonal of Golden Rectangle is expressed as Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length of Golden Rectangle. Here is an example- 11.75571 = sqrt(1+1/[phi]^2)*10.

How to calculate Diagonal of Golden Rectangle?

With Length of Golden Rectangle (l) we can find Diagonal of Golden Rectangle using the formula - Diagonal of Golden Rectangle = sqrt(1+1/[phi]^2)*Length 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([phi]^2+1)*Breadth 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 be negative?

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

Which unit is used to measure Diagonal of Golden Rectangle?

Diagonal of Golden Rectangle 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 can be measured.

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