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Edge Length of Great Dodecahedron given Circumsphere Radius Formula

GoEdge Length of Great Dodecahedron given Ridge Length Formula

GoEdge Length of Great Dodecahedron given Pyramidal Height Formula

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Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron. Check FAQs

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

l_e - Edge Length of Great Dodecahedron?r_c - Circumsphere Radius of Great Dodecahedron?

Edge Length of Great Dodecahedron given Circumsphere Radius Example

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Here is how the Edge Length of Great Dodecahedron given Circumsphere Radius equation looks like with Values.

Here is how the Edge Length of Great Dodecahedron given Circumsphere Radius equation looks like with Units.

Here is how the Edge Length of Great Dodecahedron given Circumsphere Radius equation looks like.

9.4632 = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.4632m = \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.4632 = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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3D Geometry » fx Edge Length of Great Dodecahedron given Circumsphere Radius

Edge Length of Great Dodecahedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Great Dodecahedron given Circumsphere Radius?

FIRST Step Consider the formula

l e = \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.46316001814441m

LAST Step Rounding Answer

∴

l e = 9.4632m

Edge Length of Great Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Edge Length of Great Dodecahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Dodecahedron

Circumsphere Radius of Great Dodecahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great 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 Edge Length of Great Dodecahedron

Go Edge Length of Great Dodecahedron given Ridge Length

l e = \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Edge Length of Great Dodecahedron given Pyramidal Height

l e = \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Edge Length of Great Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Go Edge Length of Great Dodecahedron given Volume

l e = {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

How to Evaluate Edge Length of Great Dodecahedron given Circumsphere Radius?

Edge Length of Great Dodecahedron given Circumsphere Radius evaluator uses Edge Length of Great Dodecahedron = (4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))) to evaluate the Edge Length of Great Dodecahedron, Edge Length of Great Dodecahedron given Circumsphere Radius formula is defined as the distance between any pair of adjacent peak vertices of the Great Dodecahedron, calculated using its circumsphere radius. Edge Length of Great Dodecahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Dodecahedron given Circumsphere Radius

What is the formula to find Edge Length of Great Dodecahedron given Circumsphere Radius?

The formula of Edge Length of Great Dodecahedron given Circumsphere Radius is expressed as Edge Length of Great Dodecahedron = (4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))). Here is an example- 9.46316 = (4*9)/sqrt(10+(2*sqrt(5))).

How to calculate Edge Length of Great Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Great Dodecahedron (r_c) we can find Edge Length of Great Dodecahedron given Circumsphere Radius using the formula - Edge Length of Great Dodecahedron = (4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Great Dodecahedron?

Here are the different ways to Calculate Edge Length of Great Dodecahedron-

Edge Length of Great Dodecahedron=(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Edge Length of Great Dodecahedron=(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))
Edge Length of Great Dodecahedron=sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Can the Edge Length of Great Dodecahedron given Circumsphere Radius be negative?

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

Which unit is used to measure Edge Length of Great Dodecahedron given Circumsphere Radius?

Edge Length of Great Dodecahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Edge Length of Great Dodecahedron given Circumsphere Radius can be measured.

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