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Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height 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{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})

r_c - Circumradius of Small Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Small Stellated Dodecahedron?

Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height Example

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Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height equation looks like with Values.

Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height equation looks like with Units.

Here is how the Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height equation looks like.

25.3262 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})

25.3262m = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}})

25.3262 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})

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Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot 14m}{\sqrt{25 + 10 \cdot \sqrt{5}}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot (\frac{5 \cdot 14}{\sqrt{25 + 10 \cdot \sqrt{5}}})

Next Step Evaluate

∴

r c = 25.3262379212493m

LAST Step Rounding Answer

∴

r c = 25.3262m

Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height 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

Pyramidal Height of Small Stellated Dodecahedron

Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height 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 Total Surface Area

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

How to Evaluate Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height?

Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height evaluator uses Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))) to evaluate the Circumradius of Small Stellated Dodecahedron, Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height formula is defined as the radius of the sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on the sphere, calculated using its pyramidal height. Circumradius of Small Stellated Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height using this online evaluator? To use this online evaluator for Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height, enter Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid) and hit the calculate button.

FAQs on Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height

What is the formula to find Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height?

The formula of Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height is expressed as Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))). Here is an example- 25.32624 = ((sqrt(50+22*sqrt(5)))/4)*((5*14)/(sqrt(25+10*sqrt(5)))).

How to calculate Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height?

With Pyramidal Height of Small Stellated Dodecahedron (h_Pyramid) we can find Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height using the formula - Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5)))). 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 Pyramidal Height be negative?

No, the Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height?

Circumsphere Radius of Small Stellated Dodecahedron given Pyramidal Height 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 Pyramidal Height can be measured.

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