Inradius of Hexagon given Circumradius Calculator

✖The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.ⓘ Circumradius of Hexagon [r_c]

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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 Circumradius [r_i]

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Inradius of Hexagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon
r_i = sqrt(3)/2*r_c
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.
Circumradius of Hexagon - (Measured in Meter) - The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hexagon: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(3)/2*r_c --> sqrt(3)/2*6

Evaluating ... ...

r_i = 5.19615242270663

STEP 3: Convert Result to Output's Unit

5.19615242270663 Meter --> No Conversion Required

FINAL ANSWER

5.19615242270663 ≈ 5.196152 Meter <-- Inradius of Hexagon

(Calculation completed in 00.006 seconds)

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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

< Radius of Hexagon Calculators

Inradius of Hexagon

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

Circumradius of Hexagon given Height

LaTeX Go Circumradius of Hexagon = Height of Hexagon/(sqrt(3))

Circumradius of Hexagon

LaTeX Go Circumradius of Hexagon = Edge Length of Hexagon/1

Circumradius of Hexagon given Width

LaTeX Go Circumradius of Hexagon = Width of Hexagon/2

Inradius of Hexagon given Circumradius Formula

LaTeX Go

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

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 Circumradius?

Inradius of Hexagon given Circumradius calculator uses Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon to calculate the Inradius of Hexagon, The Inradius of Hexagon given Circumradius 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 circumradius of the Hexagon. Inradius of Hexagon is denoted by r_i symbol.

How to calculate Inradius of Hexagon given Circumradius using this online calculator? To use this online calculator for Inradius of Hexagon given Circumradius, enter Circumradius of Hexagon (r_c) and hit the calculate button. Here is how the Inradius of Hexagon given Circumradius calculation can be explained with given input values -> 5.196152 = sqrt(3)/2*6.

FAQ

What is Inradius of Hexagon given Circumradius?

The Inradius of Hexagon given Circumradius 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 circumradius of the Hexagon and is represented as r_i = sqrt(3)/2*r_c or Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon. The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

How to calculate Inradius of Hexagon given Circumradius?

The Inradius of Hexagon given Circumradius 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 circumradius of the Hexagon is calculated using Inradius of Hexagon = sqrt(3)/2*Circumradius of Hexagon. To calculate Inradius of Hexagon given Circumradius, you need Circumradius of Hexagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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