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Area of Equilateral Triangle of Hexagon given Inradius Formula

GoArea of Equilateral Triangle of Hexagon given Area of Hexagon Formula

GoArea of Equilateral Triangle of Hexagon given Circumradius Formula

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Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon. Check FAQs

A Equilateral Triangle = \frac{\sqrt{3}}{3} \cdot {r i}^{2}

A_{Equilateral Triangle} - Area of Equilateral Triangle of Hexagon?r_i - Inradius of Hexagon?

Area of Equilateral Triangle of Hexagon given Inradius Example

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Here is how the Area of Equilateral Triangle of Hexagon given Inradius equation looks like with Values.

Here is how the Area of Equilateral Triangle of Hexagon given Inradius equation looks like with Units.

Here is how the Area of Equilateral Triangle of Hexagon given Inradius equation looks like.

14.4338 = \frac{\sqrt{3}}{3} \cdot 5^{2}

14.4338m² = \frac{\sqrt{3}}{3} \cdot {5m}^{2}

14.4338 = \frac{\sqrt{3}}{3} \cdot 5^{2}

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Area of Equilateral Triangle of Hexagon given Inradius Solution

Follow our step by step solution on how to calculate Area of Equilateral Triangle of Hexagon given Inradius?

FIRST Step Consider the formula

A Equilateral Triangle = \frac{\sqrt{3}}{3} \cdot {r i}^{2}

Next Step Substitute values of Variables

∴

A Equilateral Triangle = \frac{\sqrt{3}}{3} \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

A Equilateral Triangle = \frac{\sqrt{3}}{3} \cdot 5^{2}

Next Step Evaluate

∴

A Equilateral Triangle = 14.4337567297406m²

LAST Step Rounding Answer

∴

A Equilateral Triangle = 14.4338m²

Area of Equilateral Triangle of Hexagon given Inradius Formula Elements

Variables

Functions

Area of Equilateral Triangle of Hexagon

Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

Symbol: A_{Equilateral Triangle}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Equilateral Triangle of Hexagon

Inradius of Hexagon

The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hexagon

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 Equilateral Triangle of Hexagon

Go Area of Equilateral Triangle of Hexagon given Area of Hexagon

A Equilateral Triangle = \frac{A}{6}

Go Area of Equilateral Triangle of Hexagon given Circumradius

A Equilateral Triangle = \frac{\sqrt{3}}{4} \cdot {r c}^{2}

Go Area of Equilateral Triangle of Hexagon given Height

A Equilateral Triangle = \frac{\sqrt{3}}{12} \cdot h^{2}

Go Area of Equilateral Triangle of Hexagon given Long Diagonal

A Equilateral Triangle = \frac{\sqrt{3}}{16} \cdot {d Long}^{2}

How to Evaluate Area of Equilateral Triangle of Hexagon given Inradius?

Area of Equilateral Triangle of Hexagon given Inradius evaluator uses Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2 to evaluate the Area of Equilateral Triangle of Hexagon, The Area of Equilateral Triangle of Hexagon given Inradius formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using inradius. Area of Equilateral Triangle of Hexagon is denoted by A_{Equilateral Triangle} symbol.

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

FAQs on Area of Equilateral Triangle of Hexagon given Inradius

What is the formula to find Area of Equilateral Triangle of Hexagon given Inradius?

The formula of Area of Equilateral Triangle of Hexagon given Inradius is expressed as Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2. Here is an example- 14.43376 = sqrt(3)/3*5^2.

How to calculate Area of Equilateral Triangle of Hexagon given Inradius?

With Inradius of Hexagon (r_i) we can find Area of Equilateral Triangle of Hexagon given Inradius using the formula - Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Equilateral Triangle of Hexagon?

Here are the different ways to Calculate Area of Equilateral Triangle of Hexagon-

Area of Equilateral Triangle of Hexagon=Area of Hexagon/6
Area of Equilateral Triangle of Hexagon=sqrt(3)/4*Circumradius of Hexagon^2
Area of Equilateral Triangle of Hexagon=sqrt(3)/12*Height of Hexagon^2

Can the Area of Equilateral Triangle of Hexagon given Inradius be negative?

No, the Area of Equilateral Triangle of Hexagon given Inradius, measured in Area cannot be negative.

Which unit is used to measure Area of Equilateral Triangle of Hexagon given Inradius?

Area of Equilateral Triangle of Hexagon 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 Equilateral Triangle of Hexagon given Inradius can be measured.

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