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Length of Golden Rectangle given Diagonal Formula

GoLength of Golden Rectangle Formula

GoLength of Golden Rectangle given Perimeter Formula

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The Length of Golden Rectangle is the length of the longest edge of the Golden Rectangle. Check FAQs

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

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

Length of Golden Rectangle given Diagonal Example

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

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

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

10.2078 = \frac{1.618}{\sqrt{1 + {1.618}^{2}}} \cdot 12

10.2078m = \frac{1.618}{\sqrt{1 + {1.618}^{2}}} \cdot 12m

10.2078 = \frac{1.618}{\sqrt{1 + {1.618}^{2}}} \cdot 12

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Length of Golden Rectangle given Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

l = 10.2078097002245m

LAST Step Rounding Answer

∴

l = 10.2078m

Length of Golden Rectangle given Diagonal Formula Elements

Variables

Constants

Functions

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

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 Length of Golden Rectangle

Go Length of Golden Rectangle

l = [phi] \cdot b

Go Length of Golden Rectangle given Perimeter

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

Go Length of Golden Rectangle given Area

l = \sqrt{[phi] \cdot A}

How to Evaluate Length of Golden Rectangle given Diagonal?

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

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

FAQs on Length of Golden Rectangle given Diagonal

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

The formula of Length of Golden Rectangle given Diagonal is expressed as Length of Golden Rectangle = [phi]/(sqrt(1+[phi]^2))*Diagonal of Golden Rectangle. Here is an example- 10.20781 = [phi]/(sqrt(1+[phi]^2))*12.

How to calculate Length of Golden Rectangle given Diagonal?

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

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

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

Can the Length of Golden Rectangle given Diagonal be negative?

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

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

Length 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 Length of Golden Rectangle given Diagonal can be measured.

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