Inradius of Hexagon given Short Diagonal Calculator

✖The Short Diagonal of Hexagon is the length of the line joining any vertex of the Hexagon to one of the vertices which are next to adjacent vertices.ⓘ Short Diagonal of Hexagon [d_Short]

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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 Short Diagonal [r_i]

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Formula

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Inradius of Hexagon given Short Diagonal

Formula

`"r"_{"i"} = "d"_{"Short"}/2`

Example

`"5m"="10m"/2`

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Inradius of Hexagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hexagon = Short Diagonal of Hexagon/2
r_i = d_Short/2
This formula uses 2 Variables

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.
Short Diagonal of Hexagon - (Measured in Meter) - The Short Diagonal of Hexagon is the length of the line joining any vertex of the Hexagon to one of the vertices which are next to adjacent vertices.

STEP 1: Convert Input(s) to Base Unit

Short Diagonal of Hexagon: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = d_Short/2 --> 10/2

Evaluating ... ...

r_i = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Inradius of Hexagon

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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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 Short Diagonal Formula

Inradius of Hexagon = Short Diagonal of Hexagon/2
r_i = d_Short/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 Inradius of Hexagon given Short Diagonal?

Inradius of Hexagon given Short Diagonal calculator uses Inradius of Hexagon = Short Diagonal of Hexagon/2 to calculate the Inradius of Hexagon, The Inradius of Hexagon given Short Diagonal formula is defined as the radius of the incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the short diagonal of the Hexagon. Inradius of Hexagon is denoted by r_i symbol.

How to calculate Inradius of Hexagon given Short Diagonal using this online calculator? To use this online calculator for Inradius of Hexagon given Short Diagonal, enter Short Diagonal of Hexagon (d_Short) and hit the calculate button. Here is how the Inradius of Hexagon given Short Diagonal calculation can be explained with given input values -> 5 = 10/2.

FAQ

What is Inradius of Hexagon given Short Diagonal?

The Inradius of Hexagon given Short Diagonal formula is defined as the radius of the incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the short diagonal of the Hexagon and is represented as r_i = d_Short/2 or Inradius of Hexagon = Short Diagonal of Hexagon/2. The Short Diagonal of Hexagon is the length of the line joining any vertex of the Hexagon to one of the vertices which are next to adjacent vertices.

How to calculate Inradius of Hexagon given Short Diagonal?

The Inradius of Hexagon given Short Diagonal formula is defined as the radius of the incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, and calculated using the short diagonal of the Hexagon is calculated using Inradius of Hexagon = Short Diagonal of Hexagon/2. To calculate Inradius of Hexagon given Short Diagonal, you need Short Diagonal of Hexagon (d_Short). With our tool, you need to enter the respective value for Short Diagonal 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 Short Diagonal 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 = Perimeter of Hexagon/(4*sqrt(3))
Inradius of Hexagon = sqrt(Area of Hexagon/(2*sqrt(3)))
Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3))
Inradius of Hexagon = sqrt(3)*Width of Hexagon/4

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