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

✖Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.ⓘ Diagonal across Five Sides of Decagon [d₅]

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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.ⓘ Diagonal of Decagon across Four Sides given Diagonal across Five Sides [d₄]

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

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
d₄ = sqrt(5+(2*sqrt(5)))*d₅/(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.
Diagonal across Five Sides of Decagon - (Measured in Meter) - Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Five Sides of Decagon: 32 Meter --> 32 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = sqrt(5+(2*sqrt(5)))*d₅/(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 00.006 seconds)

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< Diagonal of Decagon across Four Sides Calculators

Diagonal of Decagon across Four Sides given Diagonal across Three Sides

LaTeX 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

LaTeX 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

LaTeX 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

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

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

LaTeX Go

Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5))
d₄ = sqrt(5+(2*sqrt(5)))*d₅/(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 Diagonal across Five Sides?

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

How to calculate Diagonal of Decagon across Four Sides given Diagonal across Five Sides using this online calculator? To use this online calculator for Diagonal of Decagon across Four Sides given Diagonal across Five Sides, enter Diagonal across Five Sides of Decagon (d₅) and hit the calculate button. Here is how the Diagonal of Decagon across Four Sides given Diagonal across Five Sides 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 Diagonal across Five Sides?

The Diagonal of Decagon across Four Sides given Diagonal across Five Sides formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using diagonal across five sides and is represented as d₄ = sqrt(5+(2*sqrt(5)))*d₅/(1+sqrt(5)) or Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5)). Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.

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

The Diagonal of Decagon across Four Sides given Diagonal across Five Sides formula is defined as the straight line joining two non-adjacent vertices across the four sides of the Decagon, calculated using diagonal across five sides is calculated using Diagonal across Four Sides of Decagon = sqrt(5+(2*sqrt(5)))*Diagonal across Five Sides of Decagon/(1+sqrt(5)). To calculate Diagonal of Decagon across Four Sides given Diagonal across Five Sides, you need Diagonal across Five Sides of Decagon (d₅). With our tool, you need to enter the respective value for Diagonal across Five Sides 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 Diagonal across Five Sides of Decagon. We can use 3 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)))*(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)))

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