Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Calculator

✖Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.ⓘ Area of Pentagon of Truncated Rhombohedron [A_Pentagon]

+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 given Area of Pentagon [r_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5))))))
r_c = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*A_Pentagon)/(sqrt(5+(2*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.
Area of Pentagon of Truncated Rhombohedron - (Measured in Square Meter) - Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Area of Pentagon of Truncated Rhombohedron: 530 Square Meter --> 530 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*A_Pentagon)/(sqrt(5+(2*sqrt(5)))))) --> ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*530)/(sqrt(5+(2*sqrt(5))))))

Evaluating ... ...

r_c = 20.2532038598988

STEP 3: Convert Result to Output's Unit

20.2532038598988 Meter --> No Conversion Required

FINAL ANSWER

20.2532038598988 ≈ 20.2532 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 given Area of Pentagon

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Radius of Truncated Rhombohedron Calculators

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

LaTeX 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 Triangular Edge Length

LaTeX 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

LaTeX 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

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

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Formula

LaTeX Go

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 given Area of Pentagon?

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon calculator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))) to calculate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon 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, calculated using its area of pentagon. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon, enter Area of Pentagon of Truncated Rhombohedron (A_Pentagon) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon calculation can be explained with given input values -> 20.2532 = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*530)/(sqrt(5+(2*sqrt(5)))))).

FAQ

What is Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon?

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon 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, calculated using its area of pentagon and is represented as r_c = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*A_Pentagon)/(sqrt(5+(2*sqrt(5)))))) or Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))). Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon?

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon 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, calculated using its area of pentagon is calculated using Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))). To calculate Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon, you need Area of Pentagon of Truncated Rhombohedron (A_Pentagon). With our tool, you need to enter the respective value for Area of Pentagon 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 Area of Pentagon of Truncated Rhombohedron. We can use 3 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)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

Home

FREE PDFs

🔍 Search