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Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height Formula

GoCircumsphere Radius of Great Stellated Dodecahedron Formula

GoCircumsphere Radius of Great Stellated Dodecahedron given Ridge Length Formula

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

r c = \frac{3 \cdot h Pyramid}{2}

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

Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height Example

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

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

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

22.5 = \frac{3 \cdot 15}{2}

22.5m = \frac{3 \cdot 15m}{2}

22.5 = \frac{3 \cdot 15}{2}

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Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height Solution

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

FIRST Step Consider the formula

r c = \frac{3 \cdot h Pyramid}{2}

Next Step Substitute values of Variables

∴

r c = \frac{3 \cdot 15m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{3 \cdot 15}{2}

LAST Step Evaluate

∴

r c = 22.5m

Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Circumradius of Great Stellated Dodecahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron

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

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Other Formulas to find Circumradius of Great Stellated Dodecahedron

Go Circumsphere Radius of Great Stellated Dodecahedron

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{4} \cdot l e

Go Circumsphere Radius of Great Stellated Dodecahedron given Ridge Length

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{2} \cdot \frac{1 \cdot l Ridge}{1 + \sqrt{5}}

Go Circumsphere Radius of Great Stellated Dodecahedron given Pentagram Chord

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{4} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Circumsphere Radius of Great Stellated Dodecahedron given Total Surface Area

r c = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{4} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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

Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height evaluator uses Circumradius of Great Stellated Dodecahedron = (3*Pyramidal Height of Great Stellated Dodecahedron)/2 to evaluate the Circumradius of Great Stellated Dodecahedron, Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the radius of the sphere that contains the Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere, calculated using its pyramidal height. Circumradius of Great Stellated Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height

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

The formula of Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height is expressed as Circumradius of Great Stellated Dodecahedron = (3*Pyramidal Height of Great Stellated Dodecahedron)/2. Here is an example- 22.5 = (3*15)/2.

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

With Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) we can find Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height using the formula - Circumradius of Great Stellated Dodecahedron = (3*Pyramidal Height of Great Stellated Dodecahedron)/2.

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

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

Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/4*Edge Length of Great Stellated Dodecahedron
Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/2*(1*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Circumradius of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/4*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Can the Circumsphere Radius of Great Stellated Dodecahedron given Pyramidal Height be negative?

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

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

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

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