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Circumradius of Dodecagon given Width Formula

GoCircumradius of Dodecagon Formula

GoCircumradius of Dodecagon given Diagonal across Two Sides 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 \frac{w}{2 + \sqrt{3}}

r_c - Circumradius of Dodecagon?w - Width of Dodecagon?

Circumradius of Dodecagon given Width Example

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

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

Here is how the Circumradius of Dodecagon given Width equation looks like.

19.1526 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{37}{2 + \sqrt{3}}

19.1526m = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{37m}{2 + \sqrt{3}}

19.1526 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{37}{2 + \sqrt{3}}

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Circumradius of Dodecagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{37m}{2 + \sqrt{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{37}{2 + \sqrt{3}}

Next Step Evaluate

∴

r c = 19.1526093375865m

LAST Step Rounding Answer

∴

r c = 19.1526m

Circumradius of Dodecagon given Width 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

Width of Dodecagon

The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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

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

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

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 given Width?

Circumradius of Dodecagon given Width evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)) to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Width formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using width. Circumradius of Dodecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Dodecagon given Width

What is the formula to find Circumradius of Dodecagon given Width?

The formula of Circumradius of Dodecagon given Width is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)). Here is an example- 19.15261 = (sqrt(6)+sqrt(2))/2*37/(2+sqrt(3)).

How to calculate Circumradius of Dodecagon given Width?

With Width of Dodecagon (w) we can find Circumradius of Dodecagon given Width using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)). 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=(sqrt(6)+sqrt(2))/2*Side of Dodecagon
Circumradius of Dodecagon=Diagonal Across Two Sides of Dodecagon/1
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon

Can the Circumradius of Dodecagon given Width be negative?

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

Which unit is used to measure Circumradius of Dodecagon given Width?

Circumradius of Dodecagon given Width 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 given Width can be measured.

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