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Area of Hexagon given Circumradius 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 = \frac{3 \cdot \sqrt{3}}{2} \cdot {r c}^{2}

A - Area of Hexagon?r_c - Circumradius of Hexagon?

Area of Hexagon given Circumradius Example

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

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

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

93.5307 = \frac{3 \cdot \sqrt{3}}{2} \cdot 6^{2}

93.5307m² = \frac{3 \cdot \sqrt{3}}{2} \cdot {6m}^{2}

93.5307 = \frac{3 \cdot \sqrt{3}}{2} \cdot 6^{2}

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Area of Hexagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{3 \cdot \sqrt{3}}{2} \cdot {6m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{3 \cdot \sqrt{3}}{2} \cdot 6^{2}

Next Step Evaluate

∴

A = 93.5307436087194m²

LAST Step Rounding Answer

∴

A = 93.5307m²

Area of Hexagon given Circumradius 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

Circumradius of Hexagon

The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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

A = \frac{3 \cdot \sqrt{3}}{2} \cdot {l e}^{2}

Go Area of Hexagon given Height

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

Go Area of Hexagon given Perimeter

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

How to Evaluate Area of Hexagon given Circumradius?

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

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

FAQs on Area of Hexagon given Circumradius

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

The formula of Area of Hexagon given Circumradius is expressed as Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2. Here is an example- 93.53074 = (3*sqrt(3))/2*6^2.

How to calculate Area of Hexagon given Circumradius?

With Circumradius of Hexagon (r_c) we can find Area of Hexagon given Circumradius using the formula - Area of Hexagon = (3*sqrt(3))/2*Circumradius 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=(3*sqrt(3))/2*Edge Length of Hexagon^2
Area of Hexagon=sqrt(3)/2*Height of Hexagon^2
Area of Hexagon=(Perimeter of Hexagon^2)/(8*sqrt(3))

Can the Area of Hexagon given Circumradius be negative?

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

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

Area of Hexagon given Circumradius 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 Circumradius can be measured.

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