Diagonal of Decagon across Four Sides given Width Calculator

✖Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.ⓘ Diagonal of Decagon across Four Sides given Width [d₄]

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Formula

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Diagonal of Decagon across Four Sides given Width

Formula

`"d"_{"4"} = sqrt(5+(2*sqrt(5)))*"w"/(1+sqrt(5))`

Example

`"30.43381m"=sqrt(5+(2*sqrt(5)))*"32m"/(1+sqrt(5))`

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Diagonal of Decagon across Four Sides given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5))
d₄ = sqrt(5+(2*sqrt(5)))*w/(1+sqrt(5))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Diagonal across Four Sides of Decagon - (Measured in Meter) - Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.
Width of Decagon - (Measured in Meter) - Width of Decagon is the measurement or extent of Decagon from side to side.

STEP 1: Convert Input(s) to Base Unit

Width of Decagon: 32 Meter --> 32 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = sqrt(5+(2*sqrt(5)))*w/(1+sqrt(5)) --> sqrt(5+(2*sqrt(5)))*32/(1+sqrt(5))

Evaluating ... ...

d₄ = 30.4338085214449

STEP 3: Convert Result to Output's Unit

30.4338085214449 Meter --> No Conversion Required

FINAL ANSWER

30.4338085214449 ≈ 30.43381 Meter <-- Diagonal across Four Sides of Decagon

(Calculation completed in 00.004 seconds)

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

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< 10+ Diagonal of Decagon across Four Sides Calculators

Diagonal of Decagon across Four Sides given Area

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Diagonal of Decagon across Four Sides given Diagonal across Three Sides

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

Diagonal of Decagon across Four Sides given Diagonal across Two Sides

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Diagonal of Decagon across Four Sides given Diagonal across Five Sides

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))

Diagonal of Decagon across Four Sides given Circumradius

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))

Diagonal of Decagon across Four Sides given Width

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5))

Diagonal of Decagon across Four Sides given Perimeter

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10

Diagonal of Decagon across Four Sides

Go Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Side of Decagon

Diagonal of Decagon across Four Sides given Inradius

Go Diagonal across Four Sides of Decagon = (2*Inradius of Decagon)

Diagonal of Decagon across Four Sides given Height

Go Diagonal across Four Sides of Decagon = 1*Height of Decagon

Diagonal of Decagon across Four Sides given Width Formula

Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5))
d₄ = sqrt(5+(2*sqrt(5)))*w/(1+sqrt(5))

What is a Decagon?

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

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

Diagonal of Decagon across Four Sides given Width calculator uses Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)) to calculate 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 calculate Diagonal of Decagon across Four Sides given Width using this online calculator? To use this online calculator for Diagonal of Decagon across Four Sides given Width, enter Width of Decagon (w) and hit the calculate button. Here is how the Diagonal of Decagon across Four Sides given Width calculation can be explained with given input values -> 30.43381 = sqrt(5+(2*sqrt(5)))*32/(1+sqrt(5)).

FAQ

What is Diagonal of Decagon across Four Sides given Width?

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 and is represented as d₄ = sqrt(5+(2*sqrt(5)))*w/(1+sqrt(5)) or Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)). Width of Decagon is the measurement or extent of Decagon from side to side.

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

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 is calculated using Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Width of Decagon/(1+sqrt(5)). To calculate Diagonal of Decagon across Four Sides given Width, you need Width of Decagon (w). With our tool, you need to enter the respective value for Width of Decagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diagonal across Four Sides of Decagon?

In this formula, Diagonal across Four Sides of Decagon uses Width of Decagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

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)))
Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Perimeter of Decagon/10
Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Diagonal across Four Sides of Decagon = 1*Height of Decagon
Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*(2*Circumradius of Decagon)/(1+sqrt(5))
Diagonal across Four Sides of Decagon = (2*Inradius of Decagon)

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