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Diagonal of Decagon across Three Sides given Width Formula

GoDiagonal of Decagon across Three Sides Formula

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

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

d 3 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{w}{2 \cdot (1 + \sqrt{5})}

d₃ - Diagonal across Three Sides of Decagon?w - Width of Decagon?

Diagonal of Decagon across Three Sides given Width Example

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

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

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

25.8885 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{32}{2 \cdot (1 + \sqrt{5})}

25.8885m = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{32m}{2 \cdot (1 + \sqrt{5})}

25.8885 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{32}{2 \cdot (1 + \sqrt{5})}

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Diagonal of Decagon across Three Sides given Width Solution

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

FIRST Step Consider the formula

d 3 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{w}{2 \cdot (1 + \sqrt{5})}

Next Step Substitute values of Variables

∴

d 3 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{32m}{2 \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

d 3 = \sqrt{14 + (6 \cdot \sqrt{5})} \cdot \frac{32}{2 \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

d 3 = 25.8885438199983m

LAST Step Rounding Answer

∴

d 3 = 25.8885m

Diagonal of Decagon across Three Sides given Width Formula Elements

Variables

Functions

Diagonal across Three Sides of Decagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three 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)

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Formula and 1100+ more formulas!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Formula and 1500+ more formulas!

Other Formulas to find Diagonal across Three Sides of Decagon

Go Diagonal of Decagon across Three Sides

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

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

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 5}{1 + \sqrt{5}}

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

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

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

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Diagonal of Decagon across Three Sides given Width evaluator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))*Width of Decagon/(2*(1+sqrt(5))) to evaluate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides given Width formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the width of the Decagon. Diagonal across Three Sides of Decagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Decagon across Three Sides given Width

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

The formula of Diagonal of Decagon across Three Sides given Width is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))*Width of Decagon/(2*(1+sqrt(5))). Here is an example- 25.88854 = sqrt(14+(6*sqrt(5)))*32/(2*(1+sqrt(5))).

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

With Width of Decagon (w) we can find Diagonal of Decagon across Three Sides given Width using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))*Width of Decagon/(2*(1+sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

Diagonal of Decagon across Three 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 Three Sides given Width can be measured.

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