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Perimeter of Dodecagon given Inradius Formula

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GoPerimeter of Dodecagon given Area 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 i}{\frac{2 + \sqrt{3}}{2}}

P - Perimeter of Dodecagon?r_i - Inradius of Dodecagon?

Perimeter of Dodecagon given Inradius Example

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

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

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

122.1848 = 12 \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

122.1848m = 12 \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

122.1848 = 12 \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

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Perimeter of Dodecagon given Inradius Solution

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

FIRST Step Consider the formula

P = 12 \cdot \frac{r i}{\frac{2 + \sqrt{3}}{2}}

Next Step Substitute values of Variables

∴

P = 12 \cdot \frac{19m}{\frac{2 + \sqrt{3}}{2}}

Next Step Prepare to Evaluate

∴

P = 12 \cdot \frac{19}{\frac{2 + \sqrt{3}}{2}}

Next Step Evaluate

∴

P = 122.184831748592m

LAST Step Rounding Answer

∴

P = 122.1848m

Perimeter of Dodecagon given Inradius 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

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 Perimeter of Dodecagon

Go Perimeter of Dodecagon

P = 12 \cdot S

Go Perimeter of Dodecagon given Area

P = 12 \cdot \sqrt{\frac{A}{3 \cdot (2 + \sqrt{3})}}

How to Evaluate Perimeter of Dodecagon given Inradius?

Perimeter of Dodecagon given Inradius evaluator uses Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2) to evaluate the Perimeter of Dodecagon, Perimeter of Dodecagon given Inradius formula is defined as the total length around the Dodecagon, calculated using inradius. Perimeter of Dodecagon is denoted by P symbol.

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

FAQs on Perimeter of Dodecagon given Inradius

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

The formula of Perimeter of Dodecagon given Inradius is expressed as Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/2). Here is an example- 122.1848 = 12*19/((2+sqrt(3))/2).

How to calculate Perimeter of Dodecagon given Inradius?

With Inradius of Dodecagon (r_i) we can find Perimeter of Dodecagon given Inradius using the formula - Perimeter of Dodecagon = 12*Inradius of Dodecagon/((2+sqrt(3))/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*Side of Dodecagon
Perimeter of Dodecagon=12*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))

Can the Perimeter of Dodecagon given Inradius be negative?

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

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

Perimeter 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 Perimeter of Dodecagon given Inradius can be measured.

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