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Midsphere Radius of Disheptahedron Formula

GoMidsphere Radius of Disheptahedron given Total Surface Area Formula

GoMidsphere Radius of Disheptahedron given Volume Formula

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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. Check FAQs

r m = \frac{\sqrt{3}}{2} \cdot l e

r_m - Midsphere Radius of Disheptahedron?l_e - Edge Length of Disheptahedron?

Midsphere Radius of Disheptahedron Example

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Here is how the Midsphere Radius of Disheptahedron equation looks like with Values.

Here is how the Midsphere Radius of Disheptahedron equation looks like with Units.

Here is how the Midsphere Radius of Disheptahedron equation looks like.

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

8.6603m = \frac{\sqrt{3}}{2} \cdot 10m

8.6603 = \frac{\sqrt{3}}{2} \cdot 10

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Midsphere Radius of Disheptahedron Solution

Follow our step by step solution on how to calculate Midsphere Radius of Disheptahedron?

FIRST Step Consider the formula

r m = \frac{\sqrt{3}}{2} \cdot l e

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot 10

Next Step Evaluate

∴

r m = 8.66025403784439m

LAST Step Rounding Answer

∴

r m = 8.6603m

Midsphere Radius of Disheptahedron Formula Elements

Variables

Functions

Midsphere Radius of Disheptahedron

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.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Disheptahedron

Edge Length of Disheptahedron

Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Disheptahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Midsphere Radius of Disheptahedron

Go Midsphere Radius of Disheptahedron given Total Surface Area

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

Go Midsphere Radius of Disheptahedron given Volume

r m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot V}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Go Midsphere Radius of Disheptahedron given Circumsphere Radius

r m = \frac{\sqrt{3}}{2} \cdot r c

Go Midsphere Radius of Disheptahedron given Surface to Volume Ratio

r m = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

How to Evaluate Midsphere Radius of Disheptahedron?

Midsphere Radius of Disheptahedron evaluator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron to evaluate 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 evaluate Midsphere Radius of Disheptahedron using this online evaluator? To use this online evaluator for Midsphere Radius of Disheptahedron, enter Edge Length of Disheptahedron (l_e) and hit the calculate button.

FAQs on Midsphere Radius of Disheptahedron

What is the formula to find Midsphere Radius of Disheptahedron?

The formula of Midsphere Radius of Disheptahedron is expressed as Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron. Here is an example- 8.660254 = sqrt(3)/2*10.

How to calculate Midsphere Radius of Disheptahedron?

With Edge Length of Disheptahedron (l_e) we can find Midsphere Radius of Disheptahedron using the formula - Midsphere Radius of Disheptahedron = sqrt(3)/2*Edge Length of Disheptahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Disheptahedron?

Here are the different ways to Calculate Midsphere Radius 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=sqrt(3)/2*Circumsphere Radius of Disheptahedron

Can the Midsphere Radius of Disheptahedron be negative?

No, the Midsphere Radius of Disheptahedron, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Disheptahedron?

Midsphere Radius of Disheptahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Disheptahedron can be measured.

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