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Perimeter of Decagon given Diagonal across Four Sides Formula

GoPerimeter of Decagon Formula

GoPerimeter of Decagon given Diagonal across Five Sides Formula

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Perimeter of Decagon is the total distance around the edge of the Decagon. Check FAQs

P = 10 \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

P - Perimeter of Decagon?d₄ - Diagonal across Four Sides of Decagon?

Perimeter of Decagon given Diagonal across Four Sides Example

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Here is how the Perimeter of Decagon given Diagonal across Four Sides equation looks like with Values.

Here is how the Perimeter of Decagon given Diagonal across Four Sides equation looks like with Units.

Here is how the Perimeter of Decagon given Diagonal across Four Sides equation looks like.

100.7251 = 10 \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

100.7251m = 10 \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

100.7251 = 10 \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Perimeter of Decagon given Diagonal across Four Sides Solution

Follow our step by step solution on how to calculate Perimeter of Decagon given Diagonal across Four Sides?

FIRST Step Consider the formula

P = 10 \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

P = 10 \cdot \frac{31m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P = 10 \cdot \frac{31}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P = 100.725105832201m

LAST Step Rounding Answer

∴

P = 100.7251m

Perimeter of Decagon given Diagonal across Four Sides Formula Elements

Variables

Functions

Perimeter of Decagon

Perimeter of Decagon is the total distance around the edge of the Decagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Decagon

Diagonal across Four Sides of Decagon

Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides of Decagon

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.

Syntax: sqrt(Number)

Other Formulas to find Perimeter of Decagon

Go Perimeter of Decagon

P = 10 \cdot S

Go Perimeter of Decagon given Diagonal across Five Sides

P = 10 \cdot \frac{d 5}{1 + \sqrt{5}}

Go Perimeter of Decagon given Diagonal across Three Sides

P = 10 \cdot \frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}}

Go Perimeter of Decagon given Diagonal across Two Sides

P = 10 \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Perimeter of Decagon given Diagonal across Four Sides evaluator uses Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))) to evaluate 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 evaluate Perimeter of Decagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Perimeter of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button.

FAQs on Perimeter of Decagon given Diagonal across Four Sides

What is the formula to find Perimeter of Decagon given Diagonal across Four Sides?

The formula of Perimeter of Decagon given Diagonal across Four Sides is expressed as Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). Here is an example- 100.7251 = 10*31/sqrt(5+(2*sqrt(5))).

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

With Diagonal across Four Sides of Decagon (d₄) we can find Perimeter of Decagon given Diagonal across Four Sides using the formula - Perimeter of Decagon = 10*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Decagon?

Here are the different ways to Calculate Perimeter of Decagon-

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)))

Can the Perimeter of Decagon given Diagonal across Four Sides be negative?

No, the Perimeter of Decagon given Diagonal across Four Sides, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Decagon given Diagonal across Four Sides?

Perimeter of Decagon given Diagonal across Four Sides is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Decagon given Diagonal across Four Sides can be measured.

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