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Circumradius of Dodecagon given Diagonal across Five 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 5}{2 + \sqrt{3}}

r_c - Circumradius of Dodecagon?d₅ - Diagonal Across Five Sides of Dodecagon?

Circumradius of Dodecagon given Diagonal across Five Sides Example

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

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

Here is how the Circumradius of Dodecagon given Diagonal across Five Sides 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 Diagonal across Five Sides Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{d 5}{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 Diagonal across Five 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 Five Sides of Dodecagon

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

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Five 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 Four Sides

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

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 Five Sides?

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

How to evaluate Circumradius of Dodecagon given Diagonal across Five Sides using this online evaluator? To use this online evaluator for Circumradius of Dodecagon given Diagonal across Five Sides, enter Diagonal Across Five Sides of Dodecagon (d₅) and hit the calculate button.

FAQs on Circumradius of Dodecagon given Diagonal across Five Sides

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

The formula of Circumradius of Dodecagon given Diagonal across Five Sides is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides 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 Diagonal across Five Sides?

With Diagonal Across Five Sides of Dodecagon (d₅) we can find Circumradius of Dodecagon given Diagonal across Five Sides using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides 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 Six Sides of Dodecagon/2
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

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

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

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

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

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