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Diagonal of Dodecagon across Three Sides given Inradius 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{r i}{\frac{2 + \sqrt{3}}{2}}

d₃ - Diagonal Across Three Sides of Dodecagon?r_i - Inradius of Dodecagon?

Diagonal of Dodecagon across Three Sides given Inradius Example

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

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

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

27.8179 = (\sqrt{3} + 1) \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

27.8179m = (\sqrt{3} + 1) \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

27.8179 = (\sqrt{3} + 1) \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

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2D Geometry » fx Diagonal of Dodecagon across Three Sides given Inradius

Diagonal of Dodecagon across Three Sides given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = (\sqrt{3} + 1) \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

Next Step Prepare to Evaluate

∴

d 3 = (\sqrt{3} + 1) \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

Next Step Evaluate

∴

d 3 = 27.8179306876173m

LAST Step Rounding Answer

∴

d 3 = 27.8179m

Diagonal of Dodecagon across Three Sides given Inradius 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

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 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 Perimeter

d 3 = (\sqrt{3} + 1) \cdot \frac{P}{12}

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

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

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

FAQs on Diagonal of Dodecagon across Three Sides given Inradius

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

The formula of Diagonal of Dodecagon across Three Sides given Inradius is expressed as Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*Inradius of Dodecagon/((2+sqrt(3))/2). Here is an example- 27.81793 = (sqrt(3)+1)*19/((2+sqrt(3))/2).

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

With Inradius of Dodecagon (r_i) we can find Diagonal of Dodecagon across Three Sides given Inradius using the formula - Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*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 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 Inradius be negative?

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

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

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

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