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Midsphere Radius of Disheptahedron given Total Surface Area Formula

GoMidsphere Radius of Disheptahedron 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 \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

r_m - Midsphere Radius of Disheptahedron?TSA - Total Surface Area of Disheptahedron?

Midsphere Radius of Disheptahedron given Total Surface Area Example

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Here is how the Midsphere Radius of Disheptahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Disheptahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Disheptahedron given Total Surface Area equation looks like.

8.6767 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

8.6767m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950m²}{2 \cdot (3 + \sqrt{3})}}

8.6767 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

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Midsphere Radius of Disheptahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Disheptahedron given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950m²}{2 \cdot (3 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{950}{2 \cdot (3 + \sqrt{3})}}

Next Step Evaluate

∴

r m = 8.67666314320188m

LAST Step Rounding Answer

∴

r m = 8.6767m

Midsphere Radius of Disheptahedron given Total Surface Area 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

Total Surface Area of Disheptahedron

Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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 given Total Surface Area?

Midsphere Radius of Disheptahedron given Total Surface Area evaluator uses Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))) to evaluate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Total Surface Area 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 total surface area of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Disheptahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Disheptahedron given Total Surface Area, enter Total Surface Area of Disheptahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Disheptahedron given Total Surface Area

What is the formula to find Midsphere Radius of Disheptahedron given Total Surface Area?

The formula of Midsphere Radius of Disheptahedron given Total Surface Area is expressed as Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). Here is an example- 8.676663 = sqrt(3)/2*sqrt(950/(2*(3+sqrt(3)))).

How to calculate Midsphere Radius of Disheptahedron given Total Surface Area?

With Total Surface Area of Disheptahedron (TSA) we can find Midsphere Radius of Disheptahedron given Total Surface Area using the formula - Midsphere Radius of Disheptahedron = sqrt(3)/2*sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))). 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*((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 given Total Surface Area be negative?

No, the Midsphere Radius of Disheptahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Disheptahedron given Total Surface Area?

Midsphere Radius of Disheptahedron given Total Surface Area 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 Total Surface Area can be measured.

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