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Diagonal of Golden Rectangle given Perimeter Formula

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

d - Diagonal of Golden Rectangle?P - Perimeter of Golden Rectangle?[phi] - Golden ratio?[phi] - Golden ratio?

Diagonal of Golden Rectangle given Perimeter Example

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

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

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

10.8981 = \frac{\sqrt{{1.618}^{2} + 1}}{2 \cdot (1.618 + 1)} \cdot 30

10.8981m = \frac{\sqrt{{1.618}^{2} + 1}}{2 \cdot (1.618 + 1)} \cdot 30m

10.8981 = \frac{\sqrt{{1.618}^{2} + 1}}{2 \cdot (1.618 + 1)} \cdot 30

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Diagonal of Golden Rectangle given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \frac{\sqrt{{[phi]}^{2} + 1}}{2 \cdot ([phi] + 1)} \cdot 30m

Next Step Substitute values of Constants

∴

d = \frac{\sqrt{{1.618}^{2} + 1}}{2 \cdot (1.618 + 1)} \cdot 30m

Next Step Prepare to Evaluate

∴

d = \frac{\sqrt{{1.618}^{2} + 1}}{2 \cdot (1.618 + 1)} \cdot 30

Next Step Evaluate

∴

d = 10.8981379200804m

LAST Step Rounding Answer

∴

d = 10.8981m

Diagonal of Golden Rectangle given Perimeter 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

Perimeter of Golden Rectangle

The Perimeter of Golden Rectangle is the total length of all the boundary lines of the Golden Rectangle.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Area

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

How to Evaluate Diagonal of Golden Rectangle given Perimeter?

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

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

FAQs on Diagonal of Golden Rectangle given Perimeter

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

The formula of Diagonal of Golden Rectangle given Perimeter is expressed as Diagonal of Golden Rectangle = (sqrt([phi]^2+1))/(2*([phi]+1))*Perimeter of Golden Rectangle. Here is an example- 10.89814 = (sqrt([phi]^2+1))/(2*([phi]+1))*30.

How to calculate Diagonal of Golden Rectangle given Perimeter?

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

Can the Diagonal of Golden Rectangle given Perimeter be negative?

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

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

Diagonal of Golden Rectangle given Perimeter 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 Perimeter can be measured.

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