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Circumradius of Dodecagon given Perimeter 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}}{24} \cdot P

r_c - Circumradius of Dodecagon?P - Perimeter of Dodecagon?

Circumradius of Dodecagon given Perimeter Example

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

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

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

19.3185 = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot 120

19.3185m = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot 120m

19.3185 = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot 120

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Circumradius of Dodecagon given Perimeter Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot P

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot 120m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{24} \cdot 120

Next Step Evaluate

∴

r c = 19.3185165257814m

LAST Step Rounding Answer

∴

r c = 19.3185m

Circumradius of Dodecagon given Perimeter 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

Perimeter of Dodecagon

Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Width

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

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 Perimeter?

Circumradius of Dodecagon given Perimeter evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Perimeter formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, and calculated using the perimeter of the Dodecagon. Circumradius of Dodecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Dodecagon given Perimeter

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

The formula of Circumradius of Dodecagon given Perimeter is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon. Here is an example- 19.31852 = (sqrt(6)+sqrt(2))/24*120.

How to calculate Circumradius of Dodecagon given Perimeter?

With Perimeter of Dodecagon (P) we can find Circumradius of Dodecagon given Perimeter using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/24*Perimeter of Dodecagon. 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))/2*Width of Dodecagon/(2+sqrt(3))

Can the Circumradius of Dodecagon given Perimeter be negative?

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

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

Circumradius of Dodecagon given Perimeter 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 Perimeter can be measured.

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