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Diagonal of Dodecagon across Four Sides given Area 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 \sqrt{\frac{A}{3 \cdot (2 + \sqrt{3})}}

d₄ - Diagonal Across Four Sides of Dodecagon?A - Area of Dodecagon?

Diagonal of Dodecagon across Four Sides given Area Example

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

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

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

33.4664 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

33.4664m = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

33.4664 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

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Diagonal of Dodecagon across Four Sides given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

d 4 = \frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

Next Step Evaluate

∴

d 4 = 33.466401061363m

LAST Step Rounding Answer

∴

d 4 = 33.4664m

Diagonal of Dodecagon across Four Sides given Area 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

Area of Dodecagon

Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Inradius

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

Go Diagonal of Dodecagon across Four Sides given Perimeter

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

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

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

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

FAQs on Diagonal of Dodecagon across Four Sides given Area

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

The formula of Diagonal of Dodecagon across Four Sides given Area is expressed as Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Here is an example- 33.4664 = ((3*sqrt(2))+sqrt(6))/2*sqrt(1120/(3*(2+sqrt(3)))).

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

With Area of Dodecagon (A) we can find Diagonal of Dodecagon across Four Sides given Area using the formula - Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(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*Inradius of Dodecagon/((2+sqrt(3))/2)

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

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

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

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

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