Midsphere Radius of Disheptahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.ⓘ Circumsphere Radius of Disheptahedron [r_c]

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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 given Circumsphere Radius [r_m]

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Formula

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Midsphere Radius of Disheptahedron given Circumsphere Radius

Formula

`"r"_{"m"} = sqrt(3)/2*"r"_{"c"}`

Example

`"8.660254m"=sqrt(3)/2*"10m"`

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Midsphere Radius of Disheptahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron
r_m = sqrt(3)/2*r_c
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.
Circumsphere Radius of Disheptahedron - (Measured in Meter) - Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Disheptahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*r_c --> 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 00.004 seconds)

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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 given Circumsphere Radius Formula

Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron
r_m = sqrt(3)/2*r_c

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 Circumsphere Radius?

Midsphere Radius of Disheptahedron given Circumsphere Radius calculator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron to calculate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Circumsphere Radius 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 circumsphere radius of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

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

FAQ

What is Midsphere Radius of Disheptahedron given Circumsphere Radius?

The Midsphere Radius of Disheptahedron given Circumsphere Radius 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 circumsphere radius of Disheptahedron and is represented as r_m = sqrt(3)/2*r_c or Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron. Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

How to calculate Midsphere Radius of Disheptahedron given Circumsphere Radius?

The Midsphere Radius of Disheptahedron given Circumsphere Radius 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 circumsphere radius of Disheptahedron is calculated using Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius of Disheptahedron. To calculate Midsphere Radius of Disheptahedron given Circumsphere Radius, you need Circumsphere Radius of Disheptahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Circumsphere Radius 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*Edge Length of Disheptahedron
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 = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron)

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