FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Midsphere Radius of Disheptahedron given Circumsphere Radius Formula

GoMidsphere Radius of Disheptahedron Formula

GoMidsphere Radius of Disheptahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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 r c

r_m - Midsphere Radius of Disheptahedron?r_c - Circumsphere Radius of Disheptahedron?

Midsphere Radius of Disheptahedron given Circumsphere Radius Example

With values

With units

Only example

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

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

Here is how the Midsphere Radius of Disheptahedron given Circumsphere Radius 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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Midsphere Radius of Disheptahedron given Circumsphere Radius

Midsphere Radius of Disheptahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

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 given Circumsphere Radius 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

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius 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

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

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 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 given Circumsphere Radius?

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

FAQs on Midsphere Radius of Disheptahedron given Circumsphere Radius

What is the formula to find Midsphere Radius of Disheptahedron given Circumsphere Radius?

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

How to calculate Midsphere Radius of Disheptahedron given Circumsphere Radius?

With Circumsphere Radius of Disheptahedron (r_c) we can find Midsphere Radius of Disheptahedron given Circumsphere Radius using the formula - Midsphere Radius of Disheptahedron = sqrt(3)/2*Circumsphere Radius 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*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)

Can the Midsphere Radius of Disheptahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Midsphere Radius of Disheptahedron given Circumsphere Radius?

Midsphere Radius of Disheptahedron given Circumsphere Radius 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 given Circumsphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit