Area of Hexagon given Circumradius Calculator

✖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.ⓘ Circumradius of Hexagon [r_c]

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✖The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.ⓘ Area of Hexagon given Circumradius [A]

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Formula

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Area of Hexagon given Circumradius

Formula

`"A" = (3*sqrt(3))/2*"r"_{"c"}^2`

Example

`"93.53074m²"=(3*sqrt(3))/2*("6m")^2`

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Area of Hexagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2
A = (3*sqrt(3))/2*r_c^2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Area of Hexagon - (Measured in Square Meter) - The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.
Circumradius of Hexagon - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (3*sqrt(3))/2*r_c^2 --> (3*sqrt(3))/2*6^2

Evaluating ... ...

A = 93.5307436087194

STEP 3: Convert Result to Output's Unit

93.5307436087194 Square Meter --> No Conversion Required

FINAL ANSWER

93.5307436087194 ≈ 93.53074 Square Meter <-- Area of Hexagon

(Calculation completed in 00.020 seconds)

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< 9 Area of Hexagon Calculators

Area of Hexagon given Long Diagonal

Go Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2

Area of Hexagon given Circumradius

Go Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2

Area of Hexagon

Go Area of Hexagon = (3*sqrt(3))/2*Edge Length of Hexagon^2

Area of Hexagon given Short Diagonal

Go Area of Hexagon = sqrt(3)/2*Short Diagonal of Hexagon^2

Area of Hexagon given Perimeter

Go Area of Hexagon = (Perimeter of Hexagon^2)/(8*sqrt(3))

Area of Hexagon given Width

Go Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2

Area of Hexagon given Inradius

Go Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2

Area of Hexagon given Height

Go Area of Hexagon = sqrt(3)/2*Height of Hexagon^2

Area of Hexagon given Area of Equilateral Triangle of Hexagon

Go Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon

< 4 Area of Hexagon Calculators

Area of Hexagon given Circumradius

Go Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2

Area of Hexagon

Go Area of Hexagon = (3*sqrt(3))/2*Edge Length of Hexagon^2

Area of Hexagon given Perimeter

Go Area of Hexagon = (Perimeter of Hexagon^2)/(8*sqrt(3))

Area of Hexagon given Height

Go Area of Hexagon = sqrt(3)/2*Height of Hexagon^2

Area of Hexagon given Circumradius Formula

Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2
A = (3*sqrt(3))/2*r_c^2

What is a Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Area of Hexagon given Circumradius?

Area of Hexagon given Circumradius calculator uses Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2 to calculate 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 calculate Area of Hexagon given Circumradius using this online calculator? To use this online calculator for Area of Hexagon given Circumradius, enter Circumradius of Hexagon (r_c) and hit the calculate button. Here is how the Area of Hexagon given Circumradius calculation can be explained with given input values -> 93.53074 = (3*sqrt(3))/2*6^2.

FAQ

What is Area of Hexagon given Circumradius?

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 and is represented as A = (3*sqrt(3))/2*r_c^2 or Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2. 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.

How to calculate Area of Hexagon given Circumradius?

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 is calculated using Area of Hexagon = (3*sqrt(3))/2*Circumradius of Hexagon^2. To calculate Area of Hexagon given Circumradius, you need Circumradius of Hexagon (r_c). With our tool, you need to enter the respective value for Circumradius of Hexagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Hexagon?

In this formula, Area of Hexagon uses Circumradius of Hexagon. We can use 11 other way(s) to calculate the same, which is/are as follows -

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
Area of Hexagon = (Perimeter of Hexagon^2)/(8*sqrt(3))
Area of Hexagon = sqrt(3)/2*Height of Hexagon^2
Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2
Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2
Area of Hexagon = (3*sqrt(3))/2*Edge Length of Hexagon^2
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))

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