Area of Hexagon given Area of Equilateral Triangle of Hexagon Calculator

✖Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.ⓘ Area of Equilateral Triangle of Hexagon [A_{Equilateral Triangle}]

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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 Area of Equilateral Triangle of Hexagon [A]

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Formula

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Area of Hexagon given Area of Equilateral Triangle of Hexagon

Formula

`"A" = 6*"A"_{"Equilateral Triangle"}`

Example

`"90m²"=6*"15m²"`

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Area of Hexagon given Area of Equilateral Triangle of Hexagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon
A = 6*A_{Equilateral Triangle}
This formula uses 2 Variables

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.
Area of Equilateral Triangle of Hexagon - (Measured in Square Meter) - Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 6*A_{Equilateral Triangle} --> 6*15

Evaluating ... ...

A = 90

STEP 3: Convert Result to Output's Unit

90 Square Meter --> No Conversion Required

FINAL ANSWER

90 Square Meter <-- Area of Hexagon

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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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

Area of Hexagon given Area of Equilateral Triangle of Hexagon Formula

Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon
A = 6*A_{Equilateral Triangle}

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 Area of Equilateral Triangle of Hexagon?

Area of Hexagon given Area of Equilateral Triangle of Hexagon calculator uses Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon to calculate the Area of Hexagon, The Area of Hexagon given Area of Equilateral Triangle of Hexagon formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the area of the equilateral triangle of the Hexagon. Area of Hexagon is denoted by A symbol.

How to calculate Area of Hexagon given Area of Equilateral Triangle of Hexagon using this online calculator? To use this online calculator for Area of Hexagon given Area of Equilateral Triangle of Hexagon, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Area of Hexagon given Area of Equilateral Triangle of Hexagon calculation can be explained with given input values -> 90 = 6*15.

FAQ

What is Area of Hexagon given Area of Equilateral Triangle of Hexagon?

The Area of Hexagon given Area of Equilateral Triangle of Hexagon formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the area of the equilateral triangle of the Hexagon and is represented as A = 6*A_{Equilateral Triangle} or Area of Hexagon = 6*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.

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

The Area of Hexagon given Area of Equilateral Triangle of Hexagon formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the area of the equilateral triangle of the Hexagon is calculated using Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon. To calculate Area of Hexagon given Area of Equilateral Triangle of Hexagon, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}). With our tool, you need to enter the respective value for Area of Equilateral Triangle 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 Area of Equilateral Triangle of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

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*Circumradius 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

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