FormulaDen.com

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

Circumsphere Radius of Truncated Icosahedron given Total Surface Area Formula

GoCircumsphere Radius of Truncated Icosahedron Formula

GoCircumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Formula

Fx Copy

LaTeX Copy

Circumsphere Radius of Truncated Icosahedron is the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

r_c - Circumsphere Radius of Truncated Icosahedron?TSA - Total Surface Area of Truncated Icosahedron?

Circumsphere Radius of Truncated Icosahedron given Total Surface Area Example

With values

With units

Only example

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

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

Here is how the Circumsphere Radius of Truncated Icosahedron given Total Surface Area equation looks like.

24.8471 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

24.8471m = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7300m²}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

24.8471 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \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 Truncated Icosahedron given Total Surface Area

Circumsphere Radius of Truncated Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7300m²}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Next Step Evaluate

∴

r c = 24.8471166639477m

LAST Step Rounding Answer

∴

r c = 24.8471m

Circumsphere Radius of Truncated Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Icosahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron is the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosahedron

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 Truncated Icosahedron

Go Circumsphere Radius of Truncated Icosahedron

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot l e(Icosahedron)

Go Circumsphere Radius of Truncated Icosahedron given Volume

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Truncated Icosahedron given Midsphere Radius

r c = \sqrt{58 + (18 \cdot \sqrt{5})} \cdot \frac{r m}{3 \cdot (1 + \sqrt{5})}

How to Evaluate Circumsphere Radius of Truncated Icosahedron given Total Surface Area?

Circumsphere Radius of Truncated Icosahedron given Total Surface Area evaluator uses Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))) to evaluate the Circumsphere Radius of Truncated Icosahedron, Circumsphere Radius of Truncated Icosahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Truncated Icosahedron. Circumsphere Radius of Truncated Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Icosahedron given Total Surface Area

What is the formula to find Circumsphere Radius of Truncated Icosahedron given Total Surface Area?

The formula of Circumsphere Radius of Truncated Icosahedron given Total Surface Area is expressed as Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))). Here is an example- 24.84712 = (sqrt(58+(18*sqrt(5))))/4*sqrt(7300/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))).

How to calculate Circumsphere Radius of Truncated Icosahedron given Total Surface Area?

With Total Surface Area of Truncated Icosahedron (TSA) we can find Circumsphere Radius of Truncated Icosahedron given Total Surface Area using the formula - Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Truncated Icosahedron?

Here are the different ways to Calculate Circumsphere Radius of Truncated Icosahedron-

Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/12*Icosahedral Edge Length of Truncated Icosahedron
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)

Can the Circumsphere Radius of Truncated Icosahedron given Total Surface Area be negative?

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

Which unit is used to measure Circumsphere Radius of Truncated Icosahedron given Total Surface Area?

Circumsphere Radius of Truncated Icosahedron 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 Truncated Icosahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit