Inradius of Hexagon given Short Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inradius of Hexagon = Short Diagonal of Hexagon/2
ri = dShort/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
ri = dShort/2 --> 10/2
Evaluating ... ...
ri = 5
STEP 3: Convert Result to Output's Unit
5 Meter --> No Conversion Required
FINAL ANSWER
5 Meter <-- Inradius of Hexagon
(Calculation completed in 00.006 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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Inradius of Hexagon Calculators

Inradius of Hexagon given Long Diagonal
​ LaTeX ​ Go Inradius of Hexagon = sqrt(3)/4*Long Diagonal of Hexagon
Inradius of Hexagon given Circumradius
​ LaTeX ​ Go Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon
Inradius of Hexagon
​ LaTeX ​ Go Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon
Inradius of Hexagon given Height
​ LaTeX ​ Go Inradius of Hexagon = Height of Hexagon/2

Inradius of Hexagon given Short Diagonal Formula

​LaTeX ​Go
Inradius of Hexagon = Short Diagonal of Hexagon/2
ri = dShort/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 ri 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 (dShort) 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 ri = dShort/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 (dShort). 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 3 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
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