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Perimeter of Dodecagon given Area Formula

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GoPerimeter of Dodecagon given Inradius Formula

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

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

P - Perimeter of Dodecagon?A - Area of Dodecagon?

Perimeter of Dodecagon given Area Example

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

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

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

120.0206 = 12 \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

120.0206m = 12 \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

120.0206 = 12 \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

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Perimeter of Dodecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 12 \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

P = 12 \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

Next Step Evaluate

∴

P = 120.020617333428m

LAST Step Rounding Answer

∴

P = 120.0206m

Perimeter of Dodecagon given Area 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

Area of Dodecagon

Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Inradius

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

How to Evaluate Perimeter of Dodecagon given Area?

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

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

FAQs on Perimeter of Dodecagon given Area

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

The formula of Perimeter of Dodecagon given Area is expressed as Perimeter of Dodecagon = 12*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Here is an example- 120.0206 = 12*sqrt(1120/(3*(2+sqrt(3)))).

How to calculate Perimeter of Dodecagon given Area?

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

Can the Perimeter of Dodecagon given Area be negative?

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

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

Perimeter of Dodecagon given Area 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 Area can be measured.

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