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Diagonal of Dodecagon across Four Sides given Height 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{h}{2 + \sqrt{3}}

d₄ - Diagonal Across Four Sides of Dodecagon?h - Height of Dodecagon?

Diagonal of Dodecagon across Four Sides given Height Example

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

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

Here is how the Diagonal of Dodecagon across Four Sides given Height 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 Height Solution

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

FIRST Step Consider the formula

d 4 = \frac{3 \cdot \sqrt{2} + \sqrt{6}}{2} \cdot \frac{h}{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 Height 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

Height of Dodecagon

Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

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

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

FAQs on Diagonal of Dodecagon across Four Sides given Height

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

The formula of Diagonal of Dodecagon across Four Sides given Height is expressed as Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height 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 Height?

With Height of Dodecagon (h) we can find Diagonal of Dodecagon across Four Sides given Height using the formula - Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height 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 Height be negative?

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

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

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

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