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Area of Hexagon given long diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (3/2)*sqrt(3)*((Long diagonal/2)^2)
A = (3/2)*sqrt(3)*((p/2)^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Long diagonal: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3/2)*sqrt(3)*((p/2)^2) --> (3/2)*sqrt(3)*((10/2)^2)
Evaluating ... ...
A = 64.9519052838329
STEP 3: Convert Result to Output's Unit
64.9519052838329 Square Meter --> No Conversion Required
FINAL ANSWER
64.9519052838329 Square Meter <-- Area
(Calculation completed in 00.015 seconds)

9 Area of Hexagon Calculators

Area of Hexagon given short diagonal
area = (3/2)*sqrt(3)*((Short diagonal/sqrt(3))^2) Go
Area of Hexagon given inradius
area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2) Go
Area of Hexagon given height
area = (3/2)*sqrt(3)*((Height/sqrt(3))^2) Go
Area of Hexagon given central angle and side
area = (3*(Side)^2)/(2*tan(Angle A/2)) Go
Area of Hexagon given long diagonal
area = (3/2)*sqrt(3)*((Long diagonal/2)^2) Go
Area of Hexagon given perimeter
area = (3/2)*sqrt(3)*((Perimeter/6)^2) Go
Area of Hexagon given circumradius
area = (3/2)*sqrt(3)*(Circumradius^2) Go
Area of Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Area of Hexagon given inradius and side
area = 3*Side*Inradius Go

Area of Hexagon given long diagonal Formula

area = (3/2)*sqrt(3)*((Long diagonal/2)^2)
A = (3/2)*sqrt(3)*((p/2)^2)

What is a hexagon?

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. 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 long diagonal?

Area of Hexagon given long diagonal calculator uses area = (3/2)*sqrt(3)*((Long diagonal/2)^2) to calculate the Area, The Area of hexagon given long diagonal formula is defined as the total area that the surface of the object occupies of hexagon , where side = side of hexagon , area = area of hexagon. Area and is denoted by A symbol.

How to calculate Area of Hexagon given long diagonal using this online calculator? To use this online calculator for Area of Hexagon given long diagonal, enter Long diagonal (p) and hit the calculate button. Here is how the Area of Hexagon given long diagonal calculation can be explained with given input values -> 64.95191 = (3/2)*sqrt(3)*((10/2)^2).

FAQ

What is Area of Hexagon given long diagonal?
The Area of hexagon given long diagonal formula is defined as the total area that the surface of the object occupies of hexagon , where side = side of hexagon , area = area of hexagon and is represented as A = (3/2)*sqrt(3)*((p/2)^2) or area = (3/2)*sqrt(3)*((Long diagonal/2)^2). Long diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Area of Hexagon given long diagonal?
The Area of hexagon given long diagonal formula is defined as the total area that the surface of the object occupies of hexagon , where side = side of hexagon , area = area of hexagon is calculated using area = (3/2)*sqrt(3)*((Long diagonal/2)^2). To calculate Area of Hexagon given long diagonal, you need Long diagonal (p). With our tool, you need to enter the respective value for Long diagonal 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?
In this formula, Area uses Long diagonal. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • area = 3*Side*Inradius
  • area = (3*(Side)^2)/(2*tan(Angle A/2))
  • area = (3/2)*sqrt(3)*Side^2
  • area = (3/2)*sqrt(3)*((Long diagonal/2)^2)
  • area = (3/2)*sqrt(3)*((Short diagonal/sqrt(3))^2)
  • area = (3/2)*sqrt(3)*((Perimeter/6)^2)
  • area = (3/2)*sqrt(3)*((Height/sqrt(3))^2)
  • area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2)
  • area = (3/2)*sqrt(3)*(Circumradius^2)
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