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Diagonal of Dodecagon across Three sides given Width Formula

GoDiagonal of Dodecagon across Three Sides Formula

GoDiagonal of Dodecagon across Three Sides given Circumradius Formula

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

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

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

Diagonal of Dodecagon across Three sides given Width Example

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

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

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

27.0859 = (\sqrt{3} + 1) \cdot \frac{37}{2 + \sqrt{3}}

27.0859m = (\sqrt{3} + 1) \cdot \frac{37m}{2 + \sqrt{3}}

27.0859 = (\sqrt{3} + 1) \cdot \frac{37}{2 + \sqrt{3}}

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Diagonal of Dodecagon across Three sides given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = (\sqrt{3} + 1) \cdot \frac{37m}{2 + \sqrt{3}}

Next Step Prepare to Evaluate

∴

d 3 = (\sqrt{3} + 1) \cdot \frac{37}{2 + \sqrt{3}}

Next Step Evaluate

∴

d 3 = 27.0858798800485m

LAST Step Rounding Answer

∴

d 3 = 27.0859m

Diagonal of Dodecagon across Three sides given Width Formula Elements

Variables

Functions

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

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

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 Diagonal Across Three Sides of Dodecagon

Go Diagonal of Dodecagon across Three Sides

d 3 = (\sqrt{3} + 1) \cdot S

Go Diagonal of Dodecagon across Three Sides given Circumradius

d 3 = \sqrt{2} \cdot r c

Go Diagonal of Dodecagon across Three Sides given Area

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

Go Diagonal of Dodecagon across Three Sides given Inradius

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

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

Diagonal of Dodecagon across Three sides given Width evaluator uses Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Width of Dodecagon/(2+sqrt(3)) to evaluate the Diagonal Across Three Sides of Dodecagon, The Diagonal of Dodecagon across Three sides given Width formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Dodecagon, calculated using width. Diagonal Across Three Sides of Dodecagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Dodecagon across Three sides given Width

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

The formula of Diagonal of Dodecagon across Three sides given Width is expressed as Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Width of Dodecagon/(2+sqrt(3)). Here is an example- 27.08588 = (sqrt(3)+1)*37/(2+sqrt(3)).

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

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

What are the other ways to Calculate Diagonal Across Three Sides of Dodecagon?

Here are the different ways to Calculate Diagonal Across Three Sides of Dodecagon-

Diagonal Across Three Sides of Dodecagon=(sqrt(3)+1)*Side of Dodecagon
Diagonal Across Three Sides of Dodecagon=sqrt(2)*Circumradius of Dodecagon
Diagonal Across Three Sides of Dodecagon=(sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))

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

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

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

Diagonal of Dodecagon across Three sides given Width is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal of Dodecagon across Three sides given Width can be measured.

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