Midsphere Radius of Disheptahedron Calculator

✖Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.ⓘ Edge Length of Disheptahedron [l_e]

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✖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 [r_m]

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Midsphere Radius of Disheptahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron
r_m = sqrt(3)/2*l_e
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.
Edge Length of Disheptahedron - (Measured in Meter) - Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Disheptahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*l_e --> sqrt(3)/2*10

Evaluating ... ...

r_m = 8.66025403784439

STEP 3: Convert Result to Output's Unit

8.66025403784439 Meter --> No Conversion Required

FINAL ANSWER

8.66025403784439 ≈ 8.660254 Meter <-- Midsphere Radius of Disheptahedron

(Calculation completed in 00.008 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 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 Formula

LaTeX Go

Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron
r_m = sqrt(3)/2*l_e

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?

Midsphere Radius of Disheptahedron calculator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron to calculate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron formula is defined as the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Disheptahedron using this online calculator? To use this online calculator for Midsphere Radius of Disheptahedron, enter Edge Length of Disheptahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Disheptahedron calculation can be explained with given input values -> 8.660254 = sqrt(3)/2*10.

FAQ

What is Midsphere Radius of Disheptahedron?

The Midsphere Radius of Disheptahedron 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 represented as r_m = sqrt(3)/2*l_e or Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron. Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.

How to calculate Midsphere Radius of Disheptahedron?

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

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