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Area of Hexagon given Inradius Formula

GoArea of Hexagon given Area of Equilateral Triangle of Hexagon Formula

GoArea of Hexagon given Long Diagonal Formula

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The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon. Check FAQs

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

A - Area of Hexagon?r_i - Inradius of Hexagon?

Area of Hexagon given Inradius Example

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

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

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

86.6025 = 2 \cdot \sqrt{3} \cdot 5^{2}

86.6025m² = 2 \cdot \sqrt{3} \cdot {5m}^{2}

86.6025 = 2 \cdot \sqrt{3} \cdot 5^{2}

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Area of Hexagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

A = 2 \cdot \sqrt{3} \cdot 5^{2}

Next Step Evaluate

∴

A = 86.6025403784439m²

LAST Step Rounding Answer

∴

A = 86.6025m²

Area of Hexagon given Inradius Formula Elements

Variables

Functions

Area of Hexagon

The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 Hexagon

Go Area of Hexagon given Area of Equilateral Triangle of Hexagon

A = 6 \cdot A Equilateral Triangle

Go Area of Hexagon given Long Diagonal

A = \frac{3 \cdot \sqrt{3}}{8} \cdot {d Long}^{2}

Go Area of Hexagon given Short Diagonal

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

Go Area of Hexagon given Perimeter

A = \frac{P^{2}}{8 \cdot \sqrt{3}}

How to Evaluate Area of Hexagon given Inradius?

Area of Hexagon given Inradius evaluator uses Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2 to evaluate the Area of Hexagon, The Area of Hexagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon. Area of Hexagon is denoted by A symbol.

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

FAQs on Area of Hexagon given Inradius

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

The formula of Area of Hexagon given Inradius is expressed as Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2. Here is an example- 86.60254 = 2*sqrt(3)*5^2.

How to calculate Area of Hexagon given Inradius?

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

What are the other ways to Calculate Area of Hexagon?

Here are the different ways to Calculate Area of Hexagon-

Area of Hexagon=6*Area of Equilateral Triangle of Hexagon
Area of Hexagon=(3*sqrt(3))/8*Long Diagonal of Hexagon^2
Area of Hexagon=sqrt(3)/2*Short Diagonal of Hexagon^2

Can the Area of Hexagon given Inradius be negative?

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

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

Area 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 Hexagon given Inradius can be measured.

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