Midsphere Radius of Disheptahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron
rm = sqrt(3)/2*le
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
rm = sqrt(3)/2*le --> sqrt(3)/2*10
Evaluating ... ...
rm = 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 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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5 Midsphere Radius of Disheptahedron Calculators

Midsphere Radius of Disheptahedron given Surface to Volume Ratio
Go Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
Midsphere Radius of Disheptahedron given Total Surface Area
Go Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3))))
Midsphere Radius of Disheptahedron given Volume
Go Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)
Midsphere Radius of Disheptahedron given Circumsphere Radius
Go Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron
Midsphere Radius of Disheptahedron
Go Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron

Midsphere Radius of Disheptahedron Formula

Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron
rm = sqrt(3)/2*le

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 rm 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 (le) 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 rm = sqrt(3)/2*le 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 (le). 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 4 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
  • Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)
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