FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Ridge Length of Great Dodecahedron given Circumsphere Radius Formula

GoRidge Length of Great Dodecahedron Formula

GoRidge Length of Great Dodecahedron given Pyramidal Height Formula

Fx Copy

LaTeX Copy

Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron. Check FAQs

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

l_Ridge - Ridge Length of Great Dodecahedron?r_c - Circumsphere Radius of Great Dodecahedron?

Ridge Length of Great Dodecahedron given Circumsphere Radius Example

With values

With units

Only example

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

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

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

5.8486 = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

5.8486m = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

5.8486 = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

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

Ridge Length of Great Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l Ridge = 5.84855453219231m

LAST Step Rounding Answer

∴

l Ridge = 5.8486m

Ridge Length of Great Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Ridge Length of Great Dodecahedron

Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.

Symbol: l_Ridge

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ridge 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 Ridge Length of Great Dodecahedron

Go Ridge Length of Great Dodecahedron

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

Go Ridge Length of Great Dodecahedron given Pyramidal Height

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Ridge Length of Great Dodecahedron given Total Surface Area

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Go Ridge Length of Great Dodecahedron given Volume

l Ridge = \frac{\sqrt{5} - 1}{2} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

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

Ridge Length of Great Dodecahedron given Circumsphere Radius evaluator uses Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Ridge Length of Great Dodecahedron, Ridge Length of Great Dodecahedron given Circumsphere Radius formula is defined as the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron, calculated using its circumsphere radius. Ridge Length of Great Dodecahedron is denoted by l_Ridge symbol.

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

FAQs on Ridge Length of Great Dodecahedron given Circumsphere Radius

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

The formula of Ridge Length of Great Dodecahedron given Circumsphere Radius is expressed as Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(4*Circumsphere Radius of Great Dodecahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 5.848555 = (sqrt(5)-1)/2*(4*9)/(sqrt(10+(2*sqrt(5)))).

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

With Circumsphere Radius of Great Dodecahedron (r_c) we can find Ridge Length of Great Dodecahedron given Circumsphere Radius using the formula - Ridge Length of Great Dodecahedron = (sqrt(5)-1)/2*(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 Ridge Length of Great Dodecahedron?

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

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

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

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

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

Ridge 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 Ridge Length of Great Dodecahedron given Circumsphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit