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Area of Hexagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2)
A = (3/2)*sqrt(3)*(((2*ri)/sqrt(3))^2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3/2)*sqrt(3)*(((2*ri)/sqrt(3))^2) --> (3/2)*sqrt(3)*(((2*10)/sqrt(3))^2)
Evaluating ... ...
A = 346.410161513776
STEP 3: Convert Result to Output's Unit
346.410161513776 Square Meter --> No Conversion Required
FINAL ANSWER
346.410161513776 Square Meter <-- Area
(Calculation completed in 00.000 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 inradius Formula

area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2)
A = (3/2)*sqrt(3)*(((2*ri)/sqrt(3))^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 inradius?

Area of Hexagon given inradius calculator uses area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2) to calculate the Area, The Area of hexagon given inradius 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 inradius using this online calculator? To use this online calculator for Area of Hexagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Area of Hexagon given inradius calculation can be explained with given input values -> 346.4102 = (3/2)*sqrt(3)*(((2*10)/sqrt(3))^2).

FAQ

What is Area of Hexagon given inradius?
The Area of hexagon given inradius 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)*(((2*ri)/sqrt(3))^2) or area = (3/2)*sqrt(3)*(((2*Inradius)/sqrt(3))^2). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Hexagon given inradius?
The Area of hexagon given inradius 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)*(((2*Inradius)/sqrt(3))^2). To calculate Area of Hexagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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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