Area of Hexagon given Inradius Calculator

✖The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.ⓘ Inradius of Hexagon [r_i]

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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 Inradius [A]

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Area of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2
A = 2*sqrt(3)*r_i^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.
Inradius of Hexagon - (Measured in Meter) - The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Hexagon: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 2*sqrt(3)*r_i^2 --> 2*sqrt(3)*5^2

Evaluating ... ...

A = 86.6025403784439

STEP 3: Convert Result to Output's Unit

86.6025403784439 Square Meter --> No Conversion Required

FINAL ANSWER

86.6025403784439 ≈ 86.60254 Square Meter <-- Area of Hexagon

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Area of Hexagon Calculators

Area of Hexagon given Long Diagonal

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

Area of Hexagon given Short Diagonal

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

Area of Hexagon given Perimeter

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

Area of Hexagon given Area of Equilateral Triangle of Hexagon

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

Area of Hexagon given Inradius Formula

LaTeX Go

Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2
A = 2*sqrt(3)*r_i^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 Inradius?

Area of Hexagon given Inradius calculator uses Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2 to calculate the Area of Hexagon, The Area of Hexagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon. Area of Hexagon 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 of Hexagon (r_i) and hit the calculate button. Here is how the Area of Hexagon given Inradius calculation can be explained with given input values -> 86.60254 = 2*sqrt(3)*5^2.

FAQ

What is Area of Hexagon given Inradius?

The Area of Hexagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon and is represented as A = 2*sqrt(3)*r_i^2 or Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2. The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

How to calculate Area of Hexagon given Inradius?

The Area of Hexagon given Inradius formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the inradius of the Hexagon is calculated using Area of Hexagon = 2*sqrt(3)*Inradius of Hexagon^2. To calculate Area of Hexagon given Inradius, you need Inradius of Hexagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Hexagon. We can use 3 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

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