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Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio Formula

GoCircumsphere Radius of Small Stellated Dodecahedron Formula

GoCircumsphere Radius of Small Stellated Dodecahedron given Ridge Length Formula

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Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere. Check FAQs

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

r_c - Circumradius of Small Stellated Dodecahedron?AV - SA:V of Small Stellated Dodecahedron?

Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio Example

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Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio equation looks like.

22.3607 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

22.3607m = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

22.3607 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

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Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot AV})

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3m⁻¹})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}{(\frac{5}{4}) \cdot (7 + 3 \cdot \sqrt{5}) \cdot 0.3})

Next Step Evaluate

∴

r c = 22.3606797749979m

LAST Step Rounding Answer

∴

r c = 22.3607m

Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Circumradius of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Small Stellated Dodecahedron

SA:V of Small Stellated Dodecahedron

SA:V of Small Stellated Dodecahedron is the numerical ratio of the total surface area of a Small Stellated Dodecahedron to the volume of the Small Stellated Dodecahedron.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Small Stellated Dodecahedron

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 Circumradius of Small Stellated Dodecahedron

Go Circumsphere Radius of Small Stellated Dodecahedron

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot l e

Go Circumsphere Radius of Small Stellated Dodecahedron given Ridge Length

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Go Circumsphere Radius of Small Stellated Dodecahedron given Pentagram Chord

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{l c(Pentagram)}{2 + \sqrt{5}})

Go Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})

How to Evaluate Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio?

Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio evaluator uses Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)) to evaluate the Circumradius of Small Stellated Dodecahedron, Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio formula is defined as the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on the sphere, calculated using its surface to volume ratio. Circumradius of Small Stellated Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio, enter SA:V of Small Stellated Dodecahedron (AV) and hit the calculate button.

FAQs on Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio

What is the formula to find Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio?

The formula of Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio is expressed as Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). Here is an example- 22.36068 = ((sqrt(50+22*sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*0.3)).

How to calculate Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio?

With SA:V of Small Stellated Dodecahedron (AV) we can find Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio using the formula - Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(7+3*sqrt(5))*SA:V of Small Stellated Dodecahedron)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Small Stellated Dodecahedron?

Here are the different ways to Calculate Circumradius of Small Stellated Dodecahedron-

Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*Edge Length of Small Stellated Dodecahedron
Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Can the Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio be negative?

No, the Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio?

Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Small Stellated Dodecahedron given Surface to Volume Ratio can be measured.

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