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Circumradius of Dodecagon given Height 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{h}{2 + \sqrt{3}}

r_c - Circumradius of Dodecagon?h - Height of Dodecagon?

Circumradius of Dodecagon given Height Example

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

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

Here is how the Circumradius of Dodecagon given Height 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 Height Solution

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

FIRST Step Consider the formula

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

Height of Dodecagon

Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Four Sides

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

How to Evaluate Circumradius of Dodecagon given Height?

Circumradius of Dodecagon given Height evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Height of Dodecagon/(2+sqrt(3)) to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Height 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 height. Circumradius of Dodecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Dodecagon given Height

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

The formula of Circumradius of Dodecagon given Height is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Height 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 Height?

With Height of Dodecagon (h) we can find Circumradius of Dodecagon given Height using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Height 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 Five Sides of Dodecagon/(2+sqrt(3))

Can the Circumradius of Dodecagon given Height be negative?

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

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

Circumradius of Dodecagon given Height 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 Height can be measured.

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