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Circumradius of Dodecagon given Diagonal across Four Sides Formula

GoCircumradius of Dodecagon Formula

GoCircumradius of Dodecagon given Diagonal across Six 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{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

r_c - Circumradius of Dodecagon?d₄ - Diagonal Across Four Sides of Dodecagon?

Circumradius of Dodecagon given Diagonal across Four Sides Example

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

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

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

19.0526 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

19.0526m = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

19.0526 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

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Circumradius of Dodecagon given Diagonal across Four Sides Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Next Step Evaluate

∴

r c = 19.0525588832576m

LAST Step Rounding Answer

∴

r c = 19.0526m

Circumradius of Dodecagon given Diagonal across Four Sides 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

Diagonal Across Four Sides of Dodecagon

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

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Four Sides 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 Six Sides

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

Go Circumradius of Dodecagon given Diagonal across Five Sides

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{d 5}{2 + \sqrt{3}}

Go Circumradius of Dodecagon given Diagonal across Three Sides

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

How to Evaluate Circumradius of Dodecagon given Diagonal across Four Sides?

Circumradius of Dodecagon given Diagonal across Four Sides evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2) to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Diagonal across Four Sides 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 diagonal across four sides. Circumradius of Dodecagon is denoted by r_c symbol.

How to evaluate Circumradius of Dodecagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Circumradius of Dodecagon given Diagonal across Four Sides, enter Diagonal Across Four Sides of Dodecagon (d₄) and hit the calculate button.

FAQs on Circumradius of Dodecagon given Diagonal across Four Sides

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

The formula of Circumradius of Dodecagon given Diagonal across Four Sides is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2). Here is an example- 19.05256 = (sqrt(6)+sqrt(2))/2*33/(((3*sqrt(2))+sqrt(6))/2).

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

With Diagonal Across Four Sides of Dodecagon (d₄) we can find Circumradius of Dodecagon given Diagonal across Four Sides using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2). 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 Six Sides of Dodecagon/2
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

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

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

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

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

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