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Diagonal of Dodecagon across Four Sides given Width Formula

GoDiagonal of Dodecagon across Four Sides Formula

GoDiagonal of Dodecagon across Four Sides given Circumradius Formula

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

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

d₄ - Diagonal Across Four Sides of Dodecagon?w - Width of Dodecagon?

Diagonal of Dodecagon across Four Sides given Width Example

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

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

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

33.1733 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{37}{2 + \sqrt{3}}

33.1733m = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{37m}{2 + \sqrt{3}}

33.1733 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{37}{2 + \sqrt{3}}

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Diagonal of Dodecagon across Four Sides given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{37m}{2 + \sqrt{3}}

Next Step Prepare to Evaluate

∴

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{37}{2 + \sqrt{3}}

Next Step Evaluate

∴

d 4 = 33.173292470218m

LAST Step Rounding Answer

∴

d 4 = 33.1733m

Diagonal of Dodecagon across Four Sides given Width Formula Elements

Variables

Functions

Diagonal Across Four Sides of Dodecagon

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

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Four 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 Four Sides of Dodecagon

Go Diagonal of Dodecagon across Four Sides

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

Go Diagonal of Dodecagon across Four Sides given Circumradius

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{r c}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Go Diagonal of Dodecagon across Four Sides given Area

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

Go Diagonal of Dodecagon across Four Sides given Inradius

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \frac{r i}{\frac{2 + \sqrt{3}}{2}}

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

Diagonal of Dodecagon across Four Sides given Width evaluator uses Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Width of Dodecagon/(2+sqrt(3)) to evaluate the Diagonal Across Four Sides of Dodecagon, The Diagonal of Dodecagon across Four Sides given Width formula is defined as the straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using width. Diagonal Across Four Sides of Dodecagon is denoted by d₄ symbol.

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

FAQs on Diagonal of Dodecagon across Four Sides given Width

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

The formula of Diagonal of Dodecagon across Four Sides given Width is expressed as Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Width of Dodecagon/(2+sqrt(3)). Here is an example- 33.17329 = ((3*sqrt(2))+sqrt(6))/2*37/(2+sqrt(3)).

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

With Width of Dodecagon (w) we can find Diagonal of Dodecagon across Four Sides given Width using the formula - Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Width of Dodecagon/(2+sqrt(3)). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

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

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