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Perimeter of Golden Rectangle given Diagonal Formula

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GoPerimeter of Golden Rectangle given Breadth Formula

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

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

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

Perimeter of Golden Rectangle given Diagonal Example

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

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

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

33.0332 = \frac{2 \cdot (1.618 + 1)}{\sqrt{{1.618}^{2} + 1}} \cdot 12

33.0332m = \frac{2 \cdot (1.618 + 1)}{\sqrt{{1.618}^{2} + 1}} \cdot 12m

33.0332 = \frac{2 \cdot (1.618 + 1)}{\sqrt{{1.618}^{2} + 1}} \cdot 12

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Perimeter of Golden Rectangle given Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{2 \cdot ([phi] + 1)}{\sqrt{{[phi]}^{2} + 1}} \cdot 12m

Next Step Substitute values of Constants

∴

P = \frac{2 \cdot (1.618 + 1)}{\sqrt{{1.618}^{2} + 1}} \cdot 12m

Next Step Prepare to Evaluate

∴

P = \frac{2 \cdot (1.618 + 1)}{\sqrt{{1.618}^{2} + 1}} \cdot 12

Next Step Evaluate

∴

P = 33.0331660913082m

LAST Step Rounding Answer

∴

P = 33.0332m

Perimeter of Golden Rectangle given Diagonal Formula Elements

Variables

Constants

Functions

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

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

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 Perimeter of Golden Rectangle

Go Perimeter of Golden Rectangle

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

Go Perimeter of Golden Rectangle given Breadth

P = 2 \cdot (1 + [phi]) \cdot b

Go Perimeter of Golden Rectangle given Area

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

How to Evaluate Perimeter of Golden Rectangle given Diagonal?

Perimeter of Golden Rectangle given Diagonal evaluator uses Perimeter of Golden Rectangle = (2*([phi]+1))/(sqrt([phi]^2+1))*Diagonal of Golden Rectangle to evaluate the Perimeter of Golden Rectangle, The Perimeter of Golden Rectangle given Diagonal formula is defined as the total length of all the boundary lines of the Golden Rectangle and calculated using the diagonal of the Golden Rectangle. Perimeter of Golden Rectangle is denoted by P symbol.

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

FAQs on Perimeter of Golden Rectangle given Diagonal

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

The formula of Perimeter of Golden Rectangle given Diagonal is expressed as Perimeter of Golden Rectangle = (2*([phi]+1))/(sqrt([phi]^2+1))*Diagonal of Golden Rectangle. Here is an example- 33.03317 = (2*([phi]+1))/(sqrt([phi]^2+1))*12.

How to calculate Perimeter of Golden Rectangle given Diagonal?

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

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

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

Can the Perimeter of Golden Rectangle given Diagonal be negative?

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

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

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

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