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Area of Dodecagon given Perimeter Formula

GoArea of Dodecagon given Diagonal across Two Sides Formula

GoArea of Dodecagon given Diagonal across Three Sides Formula

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

A = \frac{2 + \sqrt{3}}{48} \cdot P^{2}

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

Area of Dodecagon given Perimeter Example

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

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

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

1119.6152 = \frac{2 + \sqrt{3}}{48} \cdot 120^{2}

1119.6152m² = \frac{2 + \sqrt{3}}{48} \cdot {120m}^{2}

1119.6152 = \frac{2 + \sqrt{3}}{48} \cdot 120^{2}

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Area of Dodecagon given Perimeter Solution

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

FIRST Step Consider the formula

A = \frac{2 + \sqrt{3}}{48} \cdot P^{2}

Next Step Substitute values of Variables

∴

A = \frac{2 + \sqrt{3}}{48} \cdot {120m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{2 + \sqrt{3}}{48} \cdot 120^{2}

Next Step Evaluate

∴

A = 1119.61524227066m²

LAST Step Rounding Answer

∴

A = 1119.6152m²

Area of Dodecagon given Perimeter Formula Elements

Variables

Functions

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

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 Area of Dodecagon

Go Area of Dodecagon given Diagonal across Two Sides

A = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}})}^{2}

Go Area of Dodecagon given Diagonal across Three Sides

A = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{d 3}{\sqrt{3} + 1})}^{2}

Go Area of Dodecagon given Diagonal across Four Sides

A = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

Go Area of Dodecagon given Diagonal across Five Sides

A = 3 \cdot \frac{{d 5}^{2}}{2 + \sqrt{3}}

How to Evaluate Area of Dodecagon given Perimeter?

Area of Dodecagon given Perimeter evaluator uses Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2 to evaluate the Area of Dodecagon, Area of Dodecagon given Perimeter formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using perimeter. Area of Dodecagon is denoted by A symbol.

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

FAQs on Area of Dodecagon given Perimeter

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

The formula of Area of Dodecagon given Perimeter is expressed as Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2. Here is an example- 1119.615 = (2+sqrt(3))/48*120^2.

How to calculate Area of Dodecagon given Perimeter?

With Perimeter of Dodecagon (P) we can find Area of Dodecagon given Perimeter using the formula - Area of Dodecagon = (2+sqrt(3))/48*Perimeter of Dodecagon^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Dodecagon?

Here are the different ways to Calculate Area of Dodecagon-

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

Can the Area of Dodecagon given Perimeter be negative?

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

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

Area of Dodecagon given Perimeter is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Dodecagon given Perimeter can be measured.

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