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Perimeter of Dodecagon given Circumradius Formula

GoPerimeter of Dodecagon given Diagonal across Two Sides Formula

GoPerimeter of Dodecagon given Diagonal across Three Sides Formula

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

P = 12 \cdot \frac{r c}{\frac{\sqrt{6} + \sqrt{2}}{2}}

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

Perimeter of Dodecagon given Circumradius Example

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

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

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

124.2331 = 12 \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

124.2331m = 12 \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

124.2331 = 12 \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

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Perimeter of Dodecagon given Circumradius Solution

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

FIRST Step Consider the formula

P = 12 \cdot \frac{r c}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Substitute values of Variables

∴

P = 12 \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Prepare to Evaluate

∴

P = 12 \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Evaluate

∴

P = 124.23314164921m

LAST Step Rounding Answer

∴

P = 124.2331m

Perimeter of Dodecagon given Circumradius Formula Elements

Variables

Functions

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

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

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 Perimeter of Dodecagon

Go Perimeter of Dodecagon given Diagonal across Two Sides

P = 12 \cdot \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Perimeter of Dodecagon given Diagonal across Three Sides

P = 12 \cdot \frac{d 3}{\sqrt{3} + 1}

Go Perimeter of Dodecagon given Diagonal across Four Sides

P = 12 \cdot \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

Go Perimeter of Dodecagon given Diagonal across Five Sides

P = 12 \cdot \frac{d 5}{2 + \sqrt{3}}

How to Evaluate Perimeter of Dodecagon given Circumradius?

Perimeter of Dodecagon given Circumradius evaluator uses Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to evaluate the Perimeter of Dodecagon, Perimeter of Dodecagon given Circumradius formula is defined as the total length around the Dodecagon, calculated using circumradius. Perimeter of Dodecagon is denoted by P symbol.

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

FAQs on Perimeter of Dodecagon given Circumradius

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

The formula of Perimeter of Dodecagon given Circumradius is expressed as Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Here is an example- 124.2331 = 12*20/((sqrt(6)+sqrt(2))/2).

How to calculate Perimeter of Dodecagon given Circumradius?

With Circumradius of Dodecagon (r_c) we can find Perimeter of Dodecagon given Circumradius using the formula - Perimeter of Dodecagon = 12*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Dodecagon?

Here are the different ways to Calculate Perimeter of Dodecagon-

Perimeter of Dodecagon=12*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Perimeter of Dodecagon=12*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Perimeter of Dodecagon=12*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

Can the Perimeter of Dodecagon given Circumradius be negative?

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

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

Perimeter of Dodecagon given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Dodecagon given Circumradius can be measured.

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