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Area of Dodecagon given Inradius 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{12 \cdot {r i}^{2}}{2 + \sqrt{3}}

A - Area of Dodecagon?r_i - Inradius of Dodecagon?

Area of Dodecagon given Inradius Example

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

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

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

1160.7559 = \frac{12 \cdot 19^{2}}{2 + \sqrt{3}}

1160.7559m² = \frac{12 \cdot {19m}^{2}}{2 + \sqrt{3}}

1160.7559 = \frac{12 \cdot 19^{2}}{2 + \sqrt{3}}

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Area of Dodecagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 1160.75590161162m²

LAST Step Rounding Answer

∴

A = 1160.7559m²

Area of Dodecagon given Inradius 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

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 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 Inradius?

Area of Dodecagon given Inradius evaluator uses Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)) to evaluate the Area of Dodecagon, Area of Dodecagon given Inradius formula is defined as the amount or quantity of 2-dimensional space occupied by Dodecagon, calculated using inradius. Area of Dodecagon is denoted by A symbol.

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

FAQs on Area of Dodecagon given Inradius

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

The formula of Area of Dodecagon given Inradius is expressed as Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)). Here is an example- 1160.756 = (12*19^2)/(2+sqrt(3)).

How to calculate Area of Dodecagon given Inradius?

With Inradius of Dodecagon (r_i) we can find Area of Dodecagon given Inradius using the formula - Area of Dodecagon = (12*Inradius of Dodecagon^2)/(2+sqrt(3)). 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 Inradius be negative?

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

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

Area of Dodecagon given Inradius 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 Inradius can be measured.

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