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Diagonal of Decagon across Four Sides given Width Formula

GoDiagonal of Decagon across Four Sides Formula

GoDiagonal of Decagon across Four Sides given Diagonal across Five Sides Formula

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Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon. Check FAQs

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{w}{1 + \sqrt{5}}

d₄ - Diagonal across Four Sides of Decagon?w - Width of Decagon?

Diagonal of Decagon across Four Sides given Width Example

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Here is how the Diagonal of Decagon across Four Sides given Width equation looks like with Values.

Here is how the Diagonal of Decagon across Four Sides given Width equation looks like with Units.

Here is how the Diagonal of Decagon across Four Sides given Width equation looks like.

30.4338 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{32}{1 + \sqrt{5}}

30.4338m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{32m}{1 + \sqrt{5}}

30.4338 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{32}{1 + \sqrt{5}}

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Diagonal of Decagon across Four Sides given Width Solution

Follow our step by step solution on how to calculate Diagonal of Decagon across Four Sides given Width?

FIRST Step Consider the formula

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{w}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{32m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{32}{1 + \sqrt{5}}

Next Step Evaluate

∴

d 4 = 30.4338085214449m

LAST Step Rounding Answer

∴

d 4 = 30.4338m

Diagonal of Decagon across Four Sides given Width Formula Elements

Variables

Functions

Diagonal across Four Sides of Decagon

Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides of Decagon

Width of Decagon

Width of Decagon is the measurement or extent of Decagon from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Decagon

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 across Four Sides of Decagon

Go Diagonal of Decagon across Four Sides

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot S

Go Diagonal of Decagon across Four Sides given Diagonal across Five Sides

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{d 5}{1 + \sqrt{5}}

Go Diagonal of Decagon across Four Sides given Diagonal across Three Sides

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

Go Diagonal of Decagon across Four Sides given Diagonal across Two Sides

d 4 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Diagonal of Decagon across Four Sides given Width?

Diagonal of Decagon across Four Sides given Width evaluator uses Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)) to evaluate the Diagonal across Four Sides of Decagon, The Diagonal of Decagon across Four Sides given Width formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using the width of the Decagon. Diagonal across Four Sides of Decagon is denoted by d₄ symbol.

How to evaluate Diagonal of Decagon across Four Sides given Width using this online evaluator? To use this online evaluator for Diagonal of Decagon across Four Sides given Width, enter Width of Decagon (w) and hit the calculate button.

FAQs on Diagonal of Decagon across Four Sides given Width

What is the formula to find Diagonal of Decagon across Four Sides given Width?

The formula of Diagonal of Decagon across Four Sides given Width is expressed as Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)). Here is an example- 30.43381 = sqrt(5+(2*sqrt(5)))*32/(1+sqrt(5)).

How to calculate Diagonal of Decagon across Four Sides given Width?

With Width of Decagon (w) we can find Diagonal of Decagon across Four Sides given Width using the formula - Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal across Four Sides of Decagon?

Here are the different ways to Calculate Diagonal across Four Sides of Decagon-

Diagonal across Four Sides of Decagon=sqrt(5+(2*sqrt(5)))*Side of Decagon
Diagonal across Four Sides of Decagon=sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal across Four Sides of Decagon=sqrt(5+(2*sqrt(5)))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

Can the Diagonal of Decagon across Four Sides given Width be negative?

No, the Diagonal of Decagon across Four Sides given Width, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Decagon across Four Sides given Width?

Diagonal of Decagon across Four Sides given Width is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal of Decagon across Four Sides given Width can be measured.

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