Inradius of Hexagon given Area of Equilateral Triangle Calculator

✖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 [A_{Equilateral Triangle}]

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✖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 given Area of Equilateral Triangle [r_i]

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Formula

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Inradius of Hexagon given Area of Equilateral Triangle

Formula

`"r"_{"i"} = sqrt(3*"A"_{"Equilateral Triangle"}/sqrt(3))`

Example

`"5.097133m"=sqrt(3*"15m²"/sqrt(3))`

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Inradius of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(3*A_{Equilateral Triangle}/sqrt(3)) --> sqrt(3*15/sqrt(3))

Evaluating ... ...

r_i = 5.09713273454137

STEP 3: Convert Result to Output's Unit

5.09713273454137 Meter --> No Conversion Required

FINAL ANSWER

5.09713273454137 ≈ 5.097133 Meter <-- Inradius of Hexagon

(Calculation completed in 00.004 seconds)

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< 9 Inradius of Hexagon Calculators

Inradius of Hexagon given Area of Equilateral Triangle

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

Inradius of Hexagon given Area

Go Inradius of Hexagon = sqrt(Area of Hexagon/(2*sqrt(3)))

Inradius of Hexagon given Long Diagonal

Go Inradius of Hexagon = sqrt(3)/4*Long Diagonal of Hexagon

Inradius of Hexagon given Circumradius

Go Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon

Inradius of Hexagon given Perimeter

Go Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3))

Inradius of Hexagon

Go Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon

Inradius of Hexagon given Width

Go Inradius of Hexagon = sqrt(3)*Width of Hexagon/4

Inradius of Hexagon given Short Diagonal

Go Inradius of Hexagon = Short Diagonal of Hexagon/2

Inradius of Hexagon given Height

Go Inradius of Hexagon = Height of Hexagon/2

Inradius of Hexagon given Area of Equilateral Triangle Formula

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

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 Inradius of Hexagon given Area of Equilateral Triangle?

Inradius of Hexagon given Area of Equilateral Triangle calculator uses Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3)) to calculate the Inradius of Hexagon, The Inradius of Hexagon given Area of Equilateral Triangle formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, calculated using the area of the equilateral triangle. Inradius of Hexagon is denoted by r_i symbol.

How to calculate Inradius of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Inradius of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Inradius of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 5.097133 = sqrt(3*15/sqrt(3)).

FAQ

What is Inradius of Hexagon given Area of Equilateral Triangle?

The Inradius of Hexagon given Area of Equilateral Triangle formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, calculated using the area of the equilateral triangle and is represented as r_i = sqrt(3*A_{Equilateral Triangle}/sqrt(3)) or Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3)). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

How to calculate Inradius of Hexagon given Area of Equilateral Triangle?

The Inradius of Hexagon given Area of Equilateral Triangle formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, calculated using the area of the equilateral triangle is calculated using Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3)). To calculate Inradius of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}). With our tool, you need to enter the respective value for Area of Equilateral Triangle 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 Inradius of Hexagon?

In this formula, Inradius of Hexagon uses Area of Equilateral Triangle of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon
Inradius of Hexagon = Height of Hexagon/2
Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon
Inradius of Hexagon = sqrt(3)/4*Long Diagonal of Hexagon
Inradius of Hexagon = Short Diagonal of Hexagon/2
Inradius of Hexagon = Perimeter of Hexagon/(4*sqrt(3))
Inradius of Hexagon = sqrt(Area of Hexagon/(2*sqrt(3)))
Inradius of Hexagon = sqrt(3)*Width of Hexagon/4

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