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Circumradius of Dodecagon Formula

GoCircumradius of Dodecagon given Diagonal across Two Sides Formula

GoCircumradius of Dodecagon given Perimeter Formula

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

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot S

r_c - Circumradius of Dodecagon?S - Side of Dodecagon?

Circumradius of Dodecagon Example

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Here is how the Circumradius of Dodecagon equation looks like with Values.

Here is how the Circumradius of Dodecagon equation looks like with Units.

Here is how the Circumradius of Dodecagon equation looks like.

19.3185 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot 10

19.3185m = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot 10m

19.3185 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot 10

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Circumradius of Dodecagon Solution

Follow our step by step solution on how to calculate Circumradius of Dodecagon?

FIRST Step Consider the formula

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot S

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot 10

Next Step Evaluate

∴

r c = 19.3185165257814m

LAST Step Rounding Answer

∴

r c = 19.3185m

Circumradius of Dodecagon Formula Elements

Variables

Functions

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

Side of Dodecagon

Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 Circumradius of Dodecagon

Go Circumradius of Dodecagon given Diagonal across Two Sides

r c = \frac{d 2}{1}

Go Circumradius of Dodecagon given Perimeter

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot P

Go Circumradius of Dodecagon given Width

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{w}{2 + \sqrt{3}}

Other formulas in Circumradius of Dodecagon category

Go Inradius of Dodecagon

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

Go Inradius of Dodecagon given Height

r i = \frac{h}{2}

Go Inradius of Dodecagon given Width

r i = \frac{w}{2}

Go Inradius of Dodecagon given Perimeter

r i = \frac{2 + \sqrt{3}}{24} \cdot P

How to Evaluate Circumradius of Dodecagon?

Circumradius of Dodecagon evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon. Circumradius of Dodecagon is denoted by r_c symbol.

How to evaluate Circumradius of Dodecagon using this online evaluator? To use this online evaluator for Circumradius of Dodecagon, enter Side of Dodecagon (S) and hit the calculate button.

FAQs on Circumradius of Dodecagon

What is the formula to find Circumradius of Dodecagon?

The formula of Circumradius of Dodecagon is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon. Here is an example- 19.31852 = (sqrt(6)+sqrt(2))/2*10.

How to calculate Circumradius of Dodecagon?

With Side of Dodecagon (S) we can find Circumradius of Dodecagon using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Dodecagon?

Here are the different ways to Calculate Circumradius of Dodecagon-

Circumradius of Dodecagon=Diagonal Across Two Sides of Dodecagon/1
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))

Can the Circumradius of Dodecagon be negative?

No, the Circumradius of Dodecagon, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Dodecagon?

Circumradius of Dodecagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Dodecagon can be measured.

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