Area of Equilateral Triangle of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2
AEquilateral Triangle = sqrt(3)/16*dLong^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 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.
Long Diagonal of Hexagon - (Measured in Meter) - The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.
STEP 1: Convert Input(s) to Base Unit
Long Diagonal of Hexagon: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AEquilateral Triangle = sqrt(3)/16*dLong^2 --> sqrt(3)/16*12^2
Evaluating ... ...
AEquilateral Triangle = 15.5884572681199
STEP 3: Convert Result to Output's Unit
15.5884572681199 Square Meter --> No Conversion Required
FINAL ANSWER
15.5884572681199 15.58846 Square Meter <-- Area of Equilateral Triangle of Hexagon
(Calculation completed in 00.004 seconds)

Credits

Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
Divanshi Jain has created this Calculator and 300+ more calculators!
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

9 Area of Equilateral Triangle of Hexagon Calculators

Area of Equilateral Triangle of Hexagon given Short Diagonal
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Short Diagonal of Hexagon^2
Area of Equilateral Triangle of Hexagon given Long Diagonal
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2
Area of Equilateral Triangle of Hexagon given Perimeter
Go Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3))
Area of Equilateral Triangle of Hexagon given Circumradius
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/4*Circumradius of Hexagon^2
Area of Equilateral Triangle of Hexagon
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/4*Edge Length of Hexagon^2
Area of Equilateral Triangle of Hexagon given Width
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/4*(Width of Hexagon/2)^2
Area of Equilateral Triangle of Hexagon given Inradius
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2
Area of Equilateral Triangle of Hexagon given Height
Go Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Height of Hexagon^2
Area of Equilateral Triangle of Hexagon given Area of Hexagon
Go Area of Equilateral Triangle of Hexagon = Area of Hexagon/6

Area of Equilateral Triangle of Hexagon given Long Diagonal Formula

Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2
AEquilateral Triangle = sqrt(3)/16*dLong^2

What is 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 Equilateral Triangle of Hexagon given Long Diagonal?

Area of Equilateral Triangle of Hexagon given Long Diagonal calculator uses Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2 to calculate the Area of Equilateral Triangle of Hexagon, The Area of Equilateral Triangle of Hexagon given Long Diagonal formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the long diagonal of the Hexagon. Area of Equilateral Triangle of Hexagon is denoted by AEquilateral Triangle symbol.

How to calculate Area of Equilateral Triangle of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Area of Equilateral Triangle of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (dLong) and hit the calculate button. Here is how the Area of Equilateral Triangle of Hexagon given Long Diagonal calculation can be explained with given input values -> 15.58846 = sqrt(3)/16*12^2.

FAQ

What is Area of Equilateral Triangle of Hexagon given Long Diagonal?
The Area of Equilateral Triangle of Hexagon given Long Diagonal formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the long diagonal of the Hexagon and is represented as AEquilateral Triangle = sqrt(3)/16*dLong^2 or Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.
How to calculate Area of Equilateral Triangle of Hexagon given Long Diagonal?
The Area of Equilateral Triangle of Hexagon given Long Diagonal formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the long diagonal of the Hexagon is calculated using Area of Equilateral Triangle of Hexagon = sqrt(3)/16*Long Diagonal of Hexagon^2. To calculate Area of Equilateral Triangle of Hexagon given Long Diagonal, you need Long Diagonal of Hexagon (dLong). With our tool, you need to enter the respective value for Long Diagonal 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 Equilateral Triangle of Hexagon?
In this formula, Area of Equilateral Triangle of Hexagon uses Long Diagonal of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • 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
  • Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2
  • Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Short Diagonal of Hexagon^2
  • Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3))
  • Area of Equilateral Triangle of Hexagon = sqrt(3)/4*(Width of Hexagon/2)^2
  • Area of Equilateral Triangle of Hexagon = sqrt(3)/4*Edge Length of Hexagon^2
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!