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Diagonal of Dodecagon across Three Sides given Circumradius Formula

GoDiagonal of Dodecagon across Three Sides Formula

GoDiagonal of Dodecagon across Three Sides given Area 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{2} \cdot r c

d₃ - Diagonal Across Three Sides of Dodecagon?r_c - Circumradius of Dodecagon?

Diagonal of Dodecagon across Three Sides given Circumradius Example

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

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

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

28.2843 = \sqrt{2} \cdot 20

28.2843m = \sqrt{2} \cdot 20m

28.2843 = \sqrt{2} \cdot 20

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Diagonal of Dodecagon across Three Sides given Circumradius Solution

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

FIRST Step Consider the formula

d 3 = \sqrt{2} \cdot r c

Next Step Substitute values of Variables

∴

d 3 = \sqrt{2} \cdot 20m

Next Step Prepare to Evaluate

∴

d 3 = \sqrt{2} \cdot 20

Next Step Evaluate

∴

d 3 = 28.2842712474619m

LAST Step Rounding Answer

∴

d 3 = 28.2843m

Diagonal of Dodecagon across Three Sides given Circumradius 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

Circumradius of Dodecagon

Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Area

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

Go Diagonal of Dodecagon across Three Sides given Inradius

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

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 Circumradius?

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

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

FAQs on Diagonal of Dodecagon across Three Sides given Circumradius

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

The formula of Diagonal of Dodecagon across Three Sides given Circumradius is expressed as Diagonal Across Three Sides of Dodecagon = sqrt(2)*Circumradius of Dodecagon. Here is an example- 28.28427 = sqrt(2)*20.

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

With Circumradius of Dodecagon (r_c) we can find Diagonal of Dodecagon across Three Sides given Circumradius using the formula - Diagonal Across Three Sides of Dodecagon = sqrt(2)*Circumradius of Dodecagon. 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(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal Across Three Sides of Dodecagon=(sqrt(3)+1)*Inradius of Dodecagon/((2+sqrt(3))/2)

Can the Diagonal of Dodecagon across Three Sides given Circumradius be negative?

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

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

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

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