Perimeter of Decagon given Diagonal across Four Sides 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 across Four Sides of Decagon [d₄]

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✖Perimeter of Decagon is the total distance around the edge of the Decagon.ⓘ Perimeter of Decagon given Diagonal across Four Sides [P]

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Perimeter of Decagon given Diagonal across Four Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
P = 10*d₄/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

Perimeter of Decagon - (Measured in Meter) - Perimeter of Decagon is the total distance around the edge of the Decagon.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal across Four Sides of Decagon: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 10*d₄/sqrt(5+(2*sqrt(5))) --> 10*31/sqrt(5+(2*sqrt(5)))

Evaluating ... ...

P = 100.725105832201

STEP 3: Convert Result to Output's Unit

100.725105832201 Meter --> No Conversion Required

FINAL ANSWER

100.725105832201 ≈ 100.7251 Meter <-- Perimeter of Decagon

(Calculation completed in 00.008 seconds)

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< Perimeter of Decagon Calculators

Perimeter of Decagon given Diagonal across Three Sides

LaTeX Go Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

Perimeter of Decagon given Diagonal across Four Sides

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

Perimeter of Decagon given Diagonal across Five Sides

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

Perimeter of Decagon

LaTeX Go Perimeter of Decagon = 10*Side of Decagon

Perimeter of Decagon given Diagonal across Four Sides Formula

LaTeX Go

Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))
P = 10*d₄/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 Perimeter of Decagon given Diagonal across Four Sides?

Perimeter of Decagon given Diagonal across Four Sides calculator uses Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))) to calculate the Perimeter of Decagon, The Perimeter of Decagon given Diagonal across Four Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across four sides. Perimeter of Decagon is denoted by P symbol.

How to calculate Perimeter of Decagon given Diagonal across Four Sides using this online calculator? To use this online calculator for Perimeter of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button. Here is how the Perimeter of Decagon given Diagonal across Four Sides calculation can be explained with given input values -> 100.7251 = 10*31/sqrt(5+(2*sqrt(5))).

FAQ

What is Perimeter of Decagon given Diagonal across Four Sides?

The Perimeter of Decagon given Diagonal across Four Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across four sides and is represented as P = 10*d₄/sqrt(5+(2*sqrt(5))) or Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

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

The Perimeter of Decagon given Diagonal across Four Sides formula is defined as the distance of a boundary around the Decagon, calculated using diagonal across four sides is calculated using Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). To calculate Perimeter of Decagon given Diagonal across Four Sides, you need Diagonal across Four Sides of Decagon (d₄). With our tool, you need to enter the respective value for Diagonal across Four 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 Perimeter of Decagon?

In this formula, Perimeter of Decagon uses Diagonal across Four Sides of Decagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Decagon = 10*Side of Decagon
Perimeter of Decagon = 10*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Perimeter of Decagon = 10*(2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5)))

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