Midsphere Radius of Disheptahedron given Total Surface Area Calculator

✖Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.ⓘ Total Surface Area of Disheptahedron [TSA]

+10%

-10%

✖Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Disheptahedron given Total Surface Area [r_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Midsphere Radius of Disheptahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3))))
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

Midsphere Radius of Disheptahedron - (Measured in Meter) - Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.
Total Surface Area of Disheptahedron - (Measured in Square Meter) - Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Disheptahedron: 950 Square Meter --> 950 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3)))) --> sqrt(3)/2*sqrt(950/(2*(3+sqrt(3))))

Evaluating ... ...

r_m = 8.67666314320188

STEP 3: Convert Result to Output's Unit

8.67666314320188 Meter --> No Conversion Required

FINAL ANSWER

8.67666314320188 ≈ 8.676663 Meter <-- Midsphere Radius of Disheptahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Disheptahedron » Radius of Disheptahedron » Midsphere Radius of Disheptahedron » Midsphere Radius of Disheptahedron given Total Surface Area

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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

< Midsphere Radius of Disheptahedron Calculators

Midsphere Radius of Disheptahedron given Total Surface Area

LaTeX Go Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))

Midsphere Radius of Disheptahedron given Volume

LaTeX Go Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)

Midsphere Radius of Disheptahedron given Circumsphere Radius

LaTeX Go Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron

Midsphere Radius of Disheptahedron

LaTeX Go Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron

Midsphere Radius of Disheptahedron given Total Surface Area Formula

LaTeX Go

Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3))))

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Midsphere Radius of Disheptahedron given Total Surface Area?

Midsphere Radius of Disheptahedron given Total Surface Area calculator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))) to calculate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the total surface area of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Disheptahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Disheptahedron given Total Surface Area, enter Total Surface Area of Disheptahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Disheptahedron given Total Surface Area calculation can be explained with given input values -> 8.676663 = sqrt(3)/2*sqrt(950/(2*(3+sqrt(3)))).

FAQ

What is Midsphere Radius of Disheptahedron given Total Surface Area?

The Midsphere Radius of Disheptahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the total surface area of Disheptahedron and is represented as r_m = sqrt(3)/2*sqrt(TSA/(2*(3+sqrt(3)))) or Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.

How to calculate Midsphere Radius of Disheptahedron given Total Surface Area?

The Midsphere Radius of Disheptahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere and is calculated using the total surface area of Disheptahedron is calculated using Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). To calculate Midsphere Radius of Disheptahedron given Total Surface Area, you need Total Surface Area of Disheptahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Disheptahedron 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 Midsphere Radius of Disheptahedron?

In this formula, Midsphere Radius of Disheptahedron uses Total Surface Area of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron
Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron

Home

FREE PDFs

🔍 Search