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Perimeter of Dodecagon given Diagonal across Three Sides Formula

GoPerimeter of Dodecagon given Diagonal across Two Sides Formula

GoPerimeter of Dodecagon given Diagonal across Four Sides Formula

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

P = 12 \cdot \frac{d 3}{\sqrt{3} + 1}

P - Perimeter of Dodecagon?d₃ - Diagonal Across Three Sides of Dodecagon?

Perimeter of Dodecagon given Diagonal across Three Sides Example

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

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

Here is how the Perimeter of Dodecagon given Diagonal across Three Sides equation looks like.

118.5922 = 12 \cdot \frac{27}{\sqrt{3} + 1}

118.5922m = 12 \cdot \frac{27m}{\sqrt{3} + 1}

118.5922 = 12 \cdot \frac{27}{\sqrt{3} + 1}

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Perimeter of Dodecagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

P = 12 \cdot \frac{d 3}{\sqrt{3} + 1}

Next Step Substitute values of Variables

∴

P = 12 \cdot \frac{27m}{\sqrt{3} + 1}

Next Step Prepare to Evaluate

∴

P = 12 \cdot \frac{27}{\sqrt{3} + 1}

Next Step Evaluate

∴

P = 118.592230826158m

LAST Step Rounding Answer

∴

P = 118.5922m

Perimeter of Dodecagon given Diagonal across Three Sides Formula Elements

Variables

Functions

Perimeter of Dodecagon

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Dodecagon

Diagonal Across Three Sides of Dodecagon

Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Three Sides of Dodecagon

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 Dodecagon

Go Perimeter of Dodecagon given Diagonal across Two Sides

P = 12 \cdot \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Perimeter of Dodecagon given Diagonal across Four Sides

P = 12 \cdot \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Go Perimeter of Dodecagon given Diagonal across Five Sides

P = 12 \cdot \frac{d 5}{2 + \sqrt{3}}

Go Perimeter of Dodecagon given Diagonal across Six Sides

P = 12 \cdot \frac{d 6}{\sqrt{6} + \sqrt{2}}

How to Evaluate Perimeter of Dodecagon given Diagonal across Three Sides?

Perimeter of Dodecagon given Diagonal across Three Sides evaluator uses Perimeter of Dodecagon = 12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to evaluate the Perimeter of Dodecagon, The Perimeter of Dodecagon given Diagonal across Three Sides formula is defined as the total length around the Dodecagon, calculated using diagonal across three sides. Perimeter of Dodecagon is denoted by P symbol.

How to evaluate Perimeter of Dodecagon given Diagonal across Three Sides using this online evaluator? To use this online evaluator for Perimeter of Dodecagon given Diagonal across Three Sides, enter Diagonal Across Three Sides of Dodecagon (d₃) and hit the calculate button.

FAQs on Perimeter of Dodecagon given Diagonal across Three Sides

What is the formula to find Perimeter of Dodecagon given Diagonal across Three Sides?

The formula of Perimeter of Dodecagon given Diagonal across Three Sides is expressed as Perimeter of Dodecagon = 12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Here is an example- 118.5922 = 12*27/(sqrt(3)+1).

How to calculate Perimeter of Dodecagon given Diagonal across Three Sides?

With Diagonal Across Three Sides of Dodecagon (d₃) we can find Perimeter of Dodecagon given Diagonal across Three Sides using the formula - Perimeter of Dodecagon = 12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Perimeter of Dodecagon?

Here are the different ways to Calculate Perimeter of Dodecagon-

Perimeter of Dodecagon=12*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Perimeter of Dodecagon=12*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Perimeter of Dodecagon=12*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

Can the Perimeter of Dodecagon given Diagonal across Three Sides be negative?

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

Which unit is used to measure Perimeter of Dodecagon given Diagonal across Three Sides?

Perimeter of Dodecagon given Diagonal across Three 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 Dodecagon given Diagonal across Three Sides can be measured.

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