Circumsphere Radius of Truncated Rhombohedron Calculator

✖Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.ⓘ Edge Length of Truncated Rhombohedron [l_e]

+10%

-10%

✖Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Truncated Rhombohedron [r_c]

⎘ Copy

👎

Formula

✖

Circumsphere Radius of Truncated Rhombohedron

Formula

`"r"_{"c"} = ((sqrt(14-(2*sqrt(5))))/4)*(2*"l"_{"e"}/(3-sqrt(5)))`

Example

`"20.20287m"=((sqrt(14-(2*sqrt(5))))/4)*(2*"10m"/(3-sqrt(5)))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Circumsphere Radius of Truncated Rhombohedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
r_c = ((sqrt(14-(2*sqrt(5))))/4)*(2*l_e/(3-sqrt(5)))
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

Circumsphere Radius of Truncated Rhombohedron - (Measured in Meter) - Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.
Edge Length of Truncated Rhombohedron - (Measured in Meter) - Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Truncated Rhombohedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = ((sqrt(14-(2*sqrt(5))))/4)*(2*l_e/(3-sqrt(5))) --> ((sqrt(14-(2*sqrt(5))))/4)*(2*10/(3-sqrt(5)))

Evaluating ... ...

r_c = 20.2028697969183

STEP 3: Convert Result to Output's Unit

20.2028697969183 Meter --> No Conversion Required

FINAL ANSWER

20.2028697969183 ≈ 20.20287 Meter <-- Circumsphere Radius of Truncated Rhombohedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Truncated Rhombohedron » Radius of Truncated Rhombohedron » Circumsphere Radius of Truncated Rhombohedron

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 7 Radius of Truncated Rhombohedron Calculators

Circumsphere Radius of Truncated Rhombohedron given Surface to Volume Ratio

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2))))

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5))))))

Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

Circumsphere Radius of Truncated Rhombohedron given Volume

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3))

Circumsphere Radius of Truncated Rhombohedron

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))

Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron Formula

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
r_c = ((sqrt(14-(2*sqrt(5))))/4)*(2*l_e/(3-sqrt(5)))

What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Circumsphere Radius of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron calculator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5))) to calculate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Rhombohedron using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Rhombohedron, enter Edge Length of Truncated Rhombohedron (l_e) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Rhombohedron calculation can be explained with given input values -> 20.20287 = ((sqrt(14-(2*sqrt(5))))/4)*(2*10/(3-sqrt(5))).

FAQ

What is Circumsphere Radius of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere and is represented as r_c = ((sqrt(14-(2*sqrt(5))))/4)*(2*l_e/(3-sqrt(5))) or Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5))). Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

How to calculate Circumsphere Radius of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere is calculated using Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5))). To calculate Circumsphere Radius of Truncated Rhombohedron, you need Edge Length of Truncated Rhombohedron (l_e). With our tool, you need to enter the respective value for Edge Length of Truncated Rhombohedron 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 Circumsphere Radius of Truncated Rhombohedron?

In this formula, Circumsphere Radius of Truncated Rhombohedron uses Edge Length of Truncated Rhombohedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5))))))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*Surface to Volume Ratio of Truncated Rhombohedron*(5/3)*(sqrt(sqrt(5)-2))))

Home

FREE PDFs

🔍 Search