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Circumsphere Radius of Small Stellated Dodecahedron Formula

GoCircumsphere Radius of Small Stellated Dodecahedron given Ridge Length Formula

GoCircumsphere Radius of Small Stellated Dodecahedron given Pentagram Chord 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 l e

r_c - Circumradius of Small Stellated Dodecahedron?l_e - Edge Length of Small Stellated Dodecahedron?

Circumsphere Radius of Small Stellated Dodecahedron Example

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

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

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

24.899 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot 10

24.899m = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot 10m

24.899 = (\frac{\sqrt{50 + 22 \cdot \sqrt{5}}}{4}) \cdot 10

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Circumsphere Radius of Small Stellated Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 24.8989828488278m

LAST Step Rounding Answer

∴

r c = 24.899m

Circumsphere Radius of Small Stellated Dodecahedron 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

Edge Length of Small Stellated Dodecahedron

Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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}}})

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?

Circumsphere Radius of Small Stellated Dodecahedron evaluator uses Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*Edge Length of Small Stellated Dodecahedron to evaluate the Circumradius of Small Stellated Dodecahedron, Circumsphere Radius of Small Stellated Dodecahedron formula is defined as the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere. Circumradius of Small Stellated Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Small Stellated Dodecahedron using this online evaluator? To use this online evaluator for Circumsphere Radius of Small Stellated Dodecahedron, enter Edge Length of Small Stellated Dodecahedron (l_e) and hit the calculate button.

FAQs on Circumsphere Radius of Small Stellated Dodecahedron

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

The formula of Circumsphere Radius of Small Stellated Dodecahedron is expressed as Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*Edge Length of Small Stellated Dodecahedron. Here is an example- 24.89898 = ((sqrt(50+22*sqrt(5)))/4)*10.

How to calculate Circumsphere Radius of Small Stellated Dodecahedron?

With Edge Length of Small Stellated Dodecahedron (l_e) we can find Circumsphere Radius of Small Stellated Dodecahedron using the formula - Circumradius of Small Stellated Dodecahedron = ((sqrt(50+22*sqrt(5)))/4)*Edge Length 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)*((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)))
Circumradius of Small Stellated Dodecahedron=((sqrt(50+22*sqrt(5)))/4)*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))

Can the Circumsphere Radius of Small Stellated Dodecahedron be negative?

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

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

Circumsphere Radius of Small Stellated Dodecahedron 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 can be measured.

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