Diagonal of Decagon across Five Sides given Height Calculator

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

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Formula

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Diagonal of Decagon across Five Sides given Height

Formula

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

Example

`"32.59533m"=(1+sqrt(5))*"31m"/sqrt(5+(2*sqrt(5)))`

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Diagonal of Decagon across Five Sides given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Height of Decagon/sqrt(5+(2*sqrt(5)))
d₅ = (1+sqrt(5))*h/sqrt(5+(2*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 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.
Height of Decagon - (Measured in Meter) - Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₅ = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5))) --> (1+sqrt(5))*31/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

d₅ = 32.5953289513863

STEP 3: Convert Result to Output's Unit

32.5953289513863 Meter --> No Conversion Required

FINAL ANSWER

32.5953289513863 ≈ 32.59533 Meter <-- Diagonal across Five Sides of Decagon

(Calculation completed in 00.004 seconds)

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< 10+ Diagonal of Decagon across Five Sides Calculators

Diagonal of Decagon across Five Sides given Area

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

Diagonal of Decagon across Five Sides given Diagonal across Three Sides

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

Diagonal of Decagon across Five Sides given Diagonal across Two Sides

Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))

Diagonal of Decagon across Five Sides given Diagonal across Four Sides

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

Diagonal of Decagon across Five Sides given Inradius

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

Diagonal of Decagon across Five Sides given Height

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

Diagonal of Decagon across Five Sides given Perimeter

Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*Perimeter of Decagon/10

Diagonal of Decagon across Five Sides

Go Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon

Diagonal of Decagon across Five Sides given Circumradius

Go Diagonal across Five Sides of Decagon = 2*Circumradius of Decagon

Diagonal of Decagon across Five Sides given Width

Go Diagonal across Five Sides of Decagon = 1*Width of Decagon

Diagonal of Decagon across Five Sides given Height Formula

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Height of Decagon/sqrt(5+(2*sqrt(5)))
d₅ = (1+sqrt(5))*h/sqrt(5+(2*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 Five Sides given Height?

Diagonal of Decagon across Five Sides given Height calculator uses Diagonal across Five Sides of Decagon = (1+sqrt(5))*Height of Decagon/sqrt(5+(2*sqrt(5))) to calculate the Diagonal across Five Sides of Decagon, The Diagonal of Decagon across Five Sides given Height formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the height. Diagonal across Five Sides of Decagon is denoted by d₅ symbol.

How to calculate Diagonal of Decagon across Five Sides given Height using this online calculator? To use this online calculator for Diagonal of Decagon across Five Sides given Height, enter Height of Decagon (h) and hit the calculate button. Here is how the Diagonal of Decagon across Five Sides given Height calculation can be explained with given input values -> 32.59533 = (1+sqrt(5))*31/sqrt(5+(2*sqrt(5))).

FAQ

What is Diagonal of Decagon across Five Sides given Height?

The Diagonal of Decagon across Five Sides given Height formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the height and is represented as d₅ = (1+sqrt(5))*h/sqrt(5+(2*sqrt(5))) or Diagonal across Five Sides of Decagon = (1+sqrt(5))*Height of Decagon/sqrt(5+(2*sqrt(5))). Height of Decagon is the length of a perpendicular line drawn from one vertex to the opposite side.

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

The Diagonal of Decagon across Five Sides given Height formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the height is calculated using Diagonal across Five Sides of Decagon = (1+sqrt(5))*Height of Decagon/sqrt(5+(2*sqrt(5))). To calculate Diagonal of Decagon across Five Sides given Height, you need Height of Decagon (h). With our tool, you need to enter the respective value for Height 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 Five Sides of Decagon?

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

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon
Diagonal across Five Sides of Decagon = (1+sqrt(5))*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))
Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Diagonal across Two Sides of Decagon)/sqrt(10+(2*sqrt(5)))
Diagonal across Five Sides of Decagon = (1+sqrt(5))*Perimeter of Decagon/10
Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))
Diagonal across Five Sides of Decagon = 2*Circumradius of Decagon
Diagonal across Five Sides of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5)))
Diagonal across Five Sides of Decagon = 1*Width of Decagon

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