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Width of Dodecagon given Diagonal across Three Sides Formula

GoWidth of Dodecagon Formula

GoWidth of Dodecagon given Area Formula

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The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon. Check FAQs

w = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

w - Width of Dodecagon?d₃ - Diagonal Across Three Sides of Dodecagon?

Width of Dodecagon given Diagonal across Three Sides Example

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

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

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

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

36.8827m = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

36.8827 = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

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Width of Dodecagon given Diagonal across Three Sides Solution

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

FIRST Step Consider the formula

w = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

Next Step Substitute values of Variables

∴

w = (2 + \sqrt{3}) \cdot \frac{27m}{\sqrt{3} + 1}

Next Step Prepare to Evaluate

∴

w = (2 + \sqrt{3}) \cdot \frac{27}{\sqrt{3} + 1}

Next Step Evaluate

∴

w = 36.8826859021798m

LAST Step Rounding Answer

∴

w = 36.8827m

Width of Dodecagon given Diagonal across Three Sides Formula Elements

Variables

Functions

Width of Dodecagon

The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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 Width of Dodecagon

Go Width of Dodecagon

w = (2 + \sqrt{3}) \cdot S

Go Width of Dodecagon given Area

w = \sqrt{\frac{(2 + \sqrt{3}) \cdot A}{3}}

Go Width of Dodecagon given Diagonal across Six Sides

w = (2 + \sqrt{3}) \cdot \frac{d 6}{\sqrt{6} + \sqrt{2}}

Go Width of Dodecagon given Diagonal across Five Sides

w = \frac{d 5}{1}

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

Width of Dodecagon given Diagonal across Three Sides evaluator uses Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1) to evaluate the Width of Dodecagon, The Width of Dodecagon given Diagonal across Three Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across three sides. Width of Dodecagon is denoted by w symbol.

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

FAQs on Width of Dodecagon given Diagonal across Three Sides

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

The formula of Width of Dodecagon given Diagonal across Three Sides is expressed as Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). Here is an example- 36.88269 = (2+sqrt(3))*27/(sqrt(3)+1).

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

With Diagonal Across Three Sides of Dodecagon (d₃) we can find Width of Dodecagon given Diagonal across Three Sides using the formula - Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Dodecagon?

Here are the different ways to Calculate Width of Dodecagon-

Width of Dodecagon=(2+sqrt(3))*Side of Dodecagon
Width of Dodecagon=sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon=(2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

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

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

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

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

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