Diagonal of Decagon 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 of Decagon across Five Sides [d₅]

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Formula

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Diagonal of Decagon across Five Sides

Formula

`"d"_{"5"} = (1+sqrt(5))*"S"`

Example

`"32.36068m"=(1+sqrt(5))*"10m"`

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Diagonal of Decagon across Five Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon
d₅ = (1+sqrt(5))*S
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.
Side of Decagon - (Measured in Meter) - Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

STEP 1: Convert Input(s) to Base Unit

Side of Decagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₅ = (1+sqrt(5))*S --> (1+sqrt(5))*10

Evaluating ... ...

d₅ = 32.3606797749979

STEP 3: Convert Result to Output's Unit

32.3606797749979 Meter --> No Conversion Required

FINAL ANSWER

32.3606797749979 ≈ 32.36068 Meter <-- Diagonal across Five Sides of Decagon

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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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

< 6 Diagonal of Decagon Calculators

Diagonal of Decagon across Three Sides

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

Diagonal of Decagon across Two Sides

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

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 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 Four Sides given Inradius

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

Diagonal of Decagon across Five Sides Formula

Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon
d₅ = (1+sqrt(5))*S

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?

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

How to calculate Diagonal of Decagon across Five Sides using this online calculator? To use this online calculator for Diagonal of Decagon across Five Sides, enter Side of Decagon (S) and hit the calculate button. Here is how the Diagonal of Decagon across Five Sides calculation can be explained with given input values -> 32.36068 = (1+sqrt(5))*10.

FAQ

What is Diagonal of Decagon across Five Sides?

The Diagonal of Decagon across Five Sides formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon and is represented as d₅ = (1+sqrt(5))*S or Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon. Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

How to calculate Diagonal of Decagon across Five Sides?

The Diagonal of Decagon across Five Sides formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon is calculated using Diagonal across Five Sides of Decagon = (1+sqrt(5))*Side of Decagon. To calculate Diagonal of Decagon across Five Sides, you need Side of Decagon (S). With our tool, you need to enter the respective value for Side 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 Side of Decagon. We can use 10 other way(s) to calculate the same, which is/are as follows -

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

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