Area of Equilateral Triangle 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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✖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 given Inradius [A_{Equilateral Triangle}]

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Area of Equilateral Triangle of Hexagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2
A_{Equilateral Triangle} = sqrt(3)/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 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.
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_{Equilateral Triangle} = sqrt(3)/3*r_i^2 --> sqrt(3)/3*5^2

Evaluating ... ...

A_{Equilateral Triangle} = 14.4337567297406

STEP 3: Convert Result to Output's Unit

14.4337567297406 Square Meter --> No Conversion Required

FINAL ANSWER

14.4337567297406 ≈ 14.43376 Square Meter <-- Area of Equilateral Triangle of Hexagon

(Calculation completed in 00.009 seconds)

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< Area of Equilateral Triangle of Hexagon Calculators

Area of Equilateral Triangle of Hexagon given Circumradius

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/4*Circumradius of Hexagon^2

Area of Equilateral Triangle of Hexagon given Inradius

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2

Area of Equilateral Triangle of Hexagon given Height

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Height of Hexagon^2

Area of Equilateral Triangle of Hexagon given Area of Hexagon

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

Area of Equilateral Triangle of Hexagon given Inradius Formula

LaTeX Go

Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2
A_{Equilateral Triangle} = sqrt(3)/3*r_i^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 Inradius?

Area of Equilateral Triangle of Hexagon given Inradius calculator uses Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2 to calculate the Area of Equilateral Triangle of Hexagon, The Area of Equilateral Triangle of Hexagon given Inradius formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using inradius. Area of Equilateral Triangle of Hexagon is denoted by A_{Equilateral Triangle} symbol.

How to calculate Area of Equilateral Triangle of Hexagon given Inradius using this online calculator? To use this online calculator for Area of Equilateral Triangle of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button. Here is how the Area of Equilateral Triangle of Hexagon given Inradius calculation can be explained with given input values -> 14.43376 = sqrt(3)/3*5^2.

FAQ

What is Area of Equilateral Triangle of Hexagon given Inradius?

The Area of Equilateral Triangle of Hexagon given Inradius formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using inradius and is represented as A_{Equilateral Triangle} = sqrt(3)/3*r_i^2 or Area of Equilateral Triangle of Hexagon = sqrt(3)/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 Equilateral Triangle of Hexagon given Inradius?

The Area of Equilateral Triangle of Hexagon given Inradius formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using inradius is calculated using Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2. To calculate Area of Equilateral Triangle 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 Equilateral Triangle of Hexagon?

In this formula, Area of Equilateral Triangle of Hexagon uses Inradius of Hexagon. We can use 3 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

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