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Area of Dodecagon given Diagonal across Four Sides 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 = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

A - Area of Dodecagon?d₄ - Diagonal Across Four Sides of Dodecagon?

Area of Dodecagon given Diagonal across Four Sides Example

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Here is how the Area of Dodecagon given Diagonal across Four Sides equation looks like with Values.

Here is how the Area of Dodecagon given Diagonal across Four Sides equation looks like with Units.

Here is how the Area of Dodecagon given Diagonal across Four Sides equation looks like.

1089 = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

1089m² = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

1089 = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

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Area of Dodecagon given Diagonal across Four Sides Solution

Follow our step by step solution on how to calculate Area of Dodecagon given Diagonal across Four Sides?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{33m}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

Next Step Prepare to Evaluate

∴

A = 3 \cdot (2 + \sqrt{3}) \cdot {(\frac{33}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}})}^{2}

LAST Step Evaluate

∴

A = 1089m²

Area of Dodecagon given Diagonal across Four Sides 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

Diagonal Across Four Sides of Dodecagon

Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Four Sides 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 Five Sides

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

Go Area of Dodecagon given Diagonal across Six Sides

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

How to Evaluate Area of Dodecagon given Diagonal across Four Sides?

Area of Dodecagon given Diagonal across Four Sides evaluator uses Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2 to evaluate the Area of Dodecagon, Area of Dodecagon given Diagonal across Four Sides formula is defined as the quantity or amount of 2-dimensional space occupied by the Dodecagon, calculated using a diagonal across four sides. Area of Dodecagon is denoted by A symbol.

How to evaluate Area of Dodecagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Area of Dodecagon given Diagonal across Four Sides, enter Diagonal Across Four Sides of Dodecagon (d₄) and hit the calculate button.

FAQs on Area of Dodecagon given Diagonal across Four Sides

What is the formula to find Area of Dodecagon given Diagonal across Four Sides?

The formula of Area of Dodecagon given Diagonal across Four Sides is expressed as Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^2. Here is an example- 1089 = 3*(2+sqrt(3))*(33/(((3*sqrt(2))+sqrt(6))/2))^2.

How to calculate Area of Dodecagon given Diagonal across Four Sides?

With Diagonal Across Four Sides of Dodecagon (d₄) we can find Area of Dodecagon given Diagonal across Four Sides using the formula - Area of Dodecagon = 3*(2+sqrt(3))*(Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2))^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*Diagonal Across Five Sides of Dodecagon^2/(2+sqrt(3))

Can the Area of Dodecagon given Diagonal across Four Sides be negative?

No, the Area of Dodecagon given Diagonal across Four Sides, measured in Area cannot be negative.

Which unit is used to measure Area of Dodecagon given Diagonal across Four Sides?

Area of Dodecagon given Diagonal across Four Sides 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 Diagonal across Four Sides can be measured.

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