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Pyramidal Height of Small Stellated Dodecahedron given Circumradius Formula

GoPyramidal Height of Small Stellated Dodecahedron Formula

GoPyramidal Height of Small Stellated Dodecahedron given Ridge Length Formula

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

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

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

Pyramidal Height of Small Stellated Dodecahedron given Circumradius Example

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

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

13.8197 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})

13.8197m = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})

13.8197 = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})

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Pyramidal Height of Small Stellated Dodecahedron given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h Pyramid = 13.8196601125011m

LAST Step Rounding Answer

∴

h Pyramid = 13.8197m

Pyramidal Height of Small Stellated Dodecahedron given Circumradius Formula Elements

Variables

Functions

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

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

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 Pyramidal Height of Small Stellated Dodecahedron

Go Pyramidal Height of Small Stellated Dodecahedron

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot l e

Go Pyramidal Height of Small Stellated Dodecahedron given Ridge Length

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Go Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\frac{l c(Pentagram)}{2 + \sqrt{5}})

Go Pyramidal Height of Small Stellated Dodecahedron given Total Surface Area

h Pyramid = (\frac{\sqrt{25 + 10 \cdot \sqrt{5}}}{5}) \cdot (\sqrt{\frac{TSA}{15 \cdot (\sqrt{5 + 2 \cdot \sqrt{5}})}})

How to Evaluate Pyramidal Height of Small Stellated Dodecahedron given Circumradius?

Pyramidal Height of Small Stellated Dodecahedron given Circumradius evaluator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))) to evaluate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron given Circumradius formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron, calculated using its circumradius. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

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

FAQs on Pyramidal Height of Small Stellated Dodecahedron given Circumradius

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

The formula of Pyramidal Height of Small Stellated Dodecahedron given Circumradius is expressed as Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). Here is an example- 13.81966 = ((sqrt(25+10*sqrt(5)))/5)*((4*25)/(sqrt(50+22*sqrt(5)))).

How to calculate Pyramidal Height of Small Stellated Dodecahedron given Circumradius?

With Circumradius of Small Stellated Dodecahedron (r_c) we can find Pyramidal Height of Small Stellated Dodecahedron given Circumradius using the formula - Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pyramidal Height of Small Stellated Dodecahedron=((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Can the Pyramidal Height of Small Stellated Dodecahedron given Circumradius be negative?

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

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

Pyramidal Height of Small Stellated Dodecahedron given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Small Stellated Dodecahedron given Circumradius can be measured.

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