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Breadth of Golden Rectangle given Diagonal Formula

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GoBreadth of Golden Rectangle given Perimeter Formula

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

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

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

Breadth of Golden Rectangle given Diagonal Example

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

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

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

6.3088 = \frac{12}{\sqrt{1 + {1.618}^{2}}}

6.3088m = \frac{12m}{\sqrt{1 + {1.618}^{2}}}

6.3088 = \frac{12}{\sqrt{1 + {1.618}^{2}}}

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Breadth of Golden Rectangle given Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = \frac{12m}{\sqrt{1 + {[phi]}^{2}}}

Next Step Substitute values of Constants

∴

b = \frac{12m}{\sqrt{1 + {1.618}^{2}}}

Next Step Prepare to Evaluate

∴

b = \frac{12}{\sqrt{1 + {1.618}^{2}}}

Next Step Evaluate

∴

b = 6.3087733454296m

LAST Step Rounding Answer

∴

b = 6.3088m

Breadth of Golden Rectangle given Diagonal Formula Elements

Variables

Constants

Functions

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

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

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 Breadth of Golden Rectangle

Go Breadth of Golden Rectangle

b = \frac{l}{[phi]}

Go Breadth of Golden Rectangle given Perimeter

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

Go Breadth of Golden Rectangle given Area

b = \sqrt{\frac{A}{[phi]}}

How to Evaluate Breadth of Golden Rectangle given Diagonal?

Breadth of Golden Rectangle given Diagonal evaluator uses Breadth of Golden Rectangle = Diagonal of Golden Rectangle/(sqrt(1+[phi]^2)) to evaluate the Breadth of Golden Rectangle, The Breadth of Golden Rectangle given Diagonal formula is defined as the length of the shortest edge of the Golden Rectangle and calculated using the diagonal of the Golden Rectangle. Breadth of Golden Rectangle is denoted by b symbol.

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

FAQs on Breadth of Golden Rectangle given Diagonal

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

The formula of Breadth of Golden Rectangle given Diagonal is expressed as Breadth of Golden Rectangle = Diagonal of Golden Rectangle/(sqrt(1+[phi]^2)). Here is an example- 6.308773 = 12/(sqrt(1+[phi]^2)).

How to calculate Breadth of Golden Rectangle given Diagonal?

With Diagonal of Golden Rectangle (d) we can find Breadth of Golden Rectangle given Diagonal using the formula - Breadth of Golden Rectangle = Diagonal of Golden Rectangle/(sqrt(1+[phi]^2)). This formula also uses Golden ratio constant(s) and Square Root (sqrt) function(s).

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

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

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

Can the Breadth of Golden Rectangle given Diagonal be negative?

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

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

Breadth 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 Breadth of Golden Rectangle given Diagonal can be measured.

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