FormulaDen.com

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

Circumsphere Radius of Great Dodecahedron given Total Surface Area Formula

GoCircumsphere Radius of Great Dodecahedron Formula

GoCircumsphere Radius of Great Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

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. Check FAQs

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

r_c - Circumsphere Radius of Great Dodecahedron?TSA - Total Surface Area of Great Dodecahedron?

Circumsphere Radius of Great Dodecahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Circumsphere Radius of Great Dodecahedron given Total Surface Area equation looks like with Values.

Here is how the Circumsphere Radius of Great Dodecahedron given Total Surface Area equation looks like with Units.

Here is how the Circumsphere Radius of Great Dodecahedron given Total Surface Area equation looks like.

9.5549 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

9.5549m = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{1100m²}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

9.5549 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (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 Circumsphere Radius of Great Dodecahedron given Total Surface Area

Circumsphere Radius of Great Dodecahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Great Dodecahedron given Total Surface Area?

FIRST Step Consider the formula

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{1100m²}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{1100}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

r c = 9.55490818614716m

LAST Step Rounding Answer

∴

r c = 9.5549m

Circumsphere Radius of Great Dodecahedron given Total Surface Area Formula Elements

Variables

Functions

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

Total Surface Area of Great Dodecahedron

Total Surface Area of Great Dodecahedron is the total quantity of plane enclosed on the entire surface of the Great Dodecahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Circumsphere Radius of Great Dodecahedron

Go Circumsphere Radius of Great Dodecahedron

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

Go Circumsphere Radius of Great Dodecahedron given Ridge Length

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

Go Circumsphere Radius of Great Dodecahedron given Pyramidal Height

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Circumsphere Radius of Great Dodecahedron given Volume

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

How to Evaluate Circumsphere Radius of Great Dodecahedron given Total Surface Area?

Circumsphere Radius of Great Dodecahedron given Total Surface Area evaluator uses Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))) to evaluate the Circumsphere Radius of Great Dodecahedron, Circumsphere Radius of Great Dodecahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Great Dodecahedron in such a way that all the vertices are lying on sphere, calculated using its total surface area. Circumsphere Radius of Great Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Great Dodecahedron given Total Surface Area using this online evaluator? To use this online evaluator for Circumsphere Radius of Great Dodecahedron given Total Surface Area, enter Total Surface Area of Great Dodecahedron (TSA) and hit the calculate button.

FAQs on Circumsphere Radius of Great Dodecahedron given Total Surface Area

What is the formula to find Circumsphere Radius of Great Dodecahedron given Total Surface Area?

The formula of Circumsphere Radius of Great Dodecahedron given Total Surface Area is expressed as Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))). Here is an example- 9.554908 = sqrt(10+(2*sqrt(5)))/4*sqrt(1100/(15*sqrt(5-(2*sqrt(5))))).

How to calculate Circumsphere Radius of Great Dodecahedron given Total Surface Area?

With Total Surface Area of Great Dodecahedron (TSA) we can find Circumsphere Radius of Great Dodecahedron given Total Surface Area using the formula - Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Great Dodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Great Dodecahedron-

Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*Edge Length of Great Dodecahedron
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))

Can the Circumsphere Radius of Great Dodecahedron given Total Surface Area be negative?

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

Which unit is used to measure Circumsphere Radius of Great Dodecahedron given Total Surface Area?

Circumsphere Radius of Great Dodecahedron given Total Surface Area 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 Dodecahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit