FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumradius of Dodecagon given Inradius Formula

GoCircumradius of Dodecagon Formula

GoCircumradius of Dodecagon given Diagonal across Six Sides Formula

Fx Copy

LaTeX Copy

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{r i}{\frac{2 + \sqrt{3}}{2}}

r_c - Circumradius of Dodecagon?r_i - Inradius of Dodecagon?

Circumradius of Dodecagon given Inradius Example

With values

With units

Only example

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

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

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

19.6702 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

19.6702m = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

19.6702 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Circumradius of Dodecagon given Inradius

Circumradius of Dodecagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

Next Step Evaluate

∴

r c = 19.6702474277916m

LAST Step Rounding Answer

∴

r c = 19.6702m

Circumradius of Dodecagon given Inradius 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

Inradius of Dodecagon

Inradius of Dodecagon is defined as the radius of the circle which is inscribed inside the Dodecagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Inradius?

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

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

FAQs on Circumradius of Dodecagon given Inradius

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

The formula of Circumradius of Dodecagon given Inradius is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Inradius of Dodecagon/((2+sqrt(3))/2). Here is an example- 19.67025 = (sqrt(6)+sqrt(2))/2*19/((2+sqrt(3))/2).

How to calculate Circumradius of Dodecagon given Inradius?

With Inradius of Dodecagon (r_i) we can find Circumradius of Dodecagon given Inradius using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Inradius of Dodecagon/((2+sqrt(3))/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 Inradius be negative?

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

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

Circumradius of Dodecagon given Inradius 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 Inradius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit