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Diagonal of Dodecagon across Two Sides given Inradius Formula

GoDiagonal of Dodecagon across Two Sides Formula

GoDiagonal of Dodecagon across Two Sides given Diagonal across Six Sides Formula

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

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

d₂ - Diagonal Across Two Sides of Dodecagon?r_i - Inradius of Dodecagon?

Diagonal of Dodecagon across Two Sides given Inradius Example

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

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

Here is how the Diagonal of Dodecagon across Two Sides given Inradius equation looks like.

19.6702 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

19.6702m = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

19.6702 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

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Diagonal of Dodecagon across Two Sides given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 2 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

Next Step Prepare to Evaluate

∴

d 2 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

Next Step Evaluate

∴

d 2 = 19.6702474277916m

LAST Step Rounding Answer

∴

d 2 = 19.6702m

Diagonal of Dodecagon across Two Sides given Inradius Formula Elements

Variables

Functions

Diagonal Across Two Sides of Dodecagon

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

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Two Sides of Dodecagon

Inradius of Dodecagon

Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Two Sides of Dodecagon

Go Diagonal of Dodecagon across Two Sides

d 2 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot S

Go Diagonal of Dodecagon across Two Sides given Diagonal across Six Sides

d 2 = \frac{d 6}{2}

Go Diagonal of Dodecagon across Two Sides given Area

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

Go Diagonal of Dodecagon across Two Sides given Perimeter

d 2 = \frac{\sqrt{2} + \sqrt{6}}{2} \cdot \frac{P}{12}

How to Evaluate Diagonal of Dodecagon across Two Sides given Inradius?

Diagonal of Dodecagon across Two Sides given Inradius evaluator uses Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2) to evaluate the Diagonal Across Two Sides of Dodecagon, The Diagonal of Dodecagon across Two Sides given Inradius formula is defined as the straight line connecting two non-adjacent vertices across two sides of the Dodecagon, calculated using inradius. Diagonal Across Two Sides of Dodecagon is denoted by d₂ symbol.

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

FAQs on Diagonal of Dodecagon across Two Sides given Inradius

What is the formula to find Diagonal of Dodecagon across Two Sides given Inradius?

The formula of Diagonal of Dodecagon across Two Sides given Inradius is expressed as Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2). Here is an example- 19.67025 = (sqrt(2)+sqrt(6))/2*19/((2+sqrt(3))/2).

How to calculate Diagonal of Dodecagon across Two Sides given Inradius?

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

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

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

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

Can the Diagonal of Dodecagon across Two Sides given Inradius be negative?

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

Which unit is used to measure Diagonal of Dodecagon across Two Sides given Inradius?

Diagonal of Dodecagon across Two Sides given Inradius 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 Two Sides given Inradius can be measured.

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