FormulaDen.com

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

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height Formula

GoCircumsphere Radius of Icosidodecahedron Formula

GoCircumsphere Radius of Icosidodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

r c = (1 + \sqrt{5}) \cdot \frac{h Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}}

r_c - Circumsphere Radius of Icosidodecahedron?h_Pentagon - Pentagonal Face Height of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height Example

With values

With units

Only example

Here is how the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height equation looks like with Values.

Here is how the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height equation looks like with Units.

Here is how the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height equation looks like.

15.7719 = (1 + \sqrt{5}) \cdot \frac{15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

15.7719m = (1 + \sqrt{5}) \cdot \frac{15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

15.7719 = (1 + \sqrt{5}) \cdot \frac{15}{\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 Icosidodecahedron given Pentagonal Face Height

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height?

FIRST Step Consider the formula

r c = (1 + \sqrt{5}) \cdot \frac{h Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

r c = (1 + \sqrt{5}) \cdot \frac{15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

r c = (1 + \sqrt{5}) \cdot \frac{15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

r c = 15.771933363574m

LAST Step Rounding Answer

∴

r c = 15.7719m

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height Formula Elements

Variables

Functions

Circumsphere Radius of Icosidodecahedron

Circumsphere Radius of Icosidodecahedron is the radius of the sphere that contains the Icosidodecahedron 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 Icosidodecahedron

Pentagonal Face Height of Icosidodecahedron

Pentagonal Face Height of Icosidodecahedron is the shortest distance between an edge and the vertically opposite corner, of any of the pentagonal faces of the Icosidodecahedron.

Symbol: h_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Height of Icosidodecahedron

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 Icosidodecahedron

Go Circumsphere Radius of Icosidodecahedron

r c = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Circumsphere Radius of Icosidodecahedron given Total Surface Area

r c = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Icosidodecahedron given Volume

r c = \frac{1 + \sqrt{5}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Icosidodecahedron given Midsphere Radius

r c = \frac{1 + \sqrt{5}}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot r m

How to Evaluate Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height?

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height evaluator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*Pentagonal Face Height of Icosidodecahedron/sqrt(5+(2*sqrt(5))) to evaluate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height formula is defined as the radius of the sphere that contains the Icosidodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the pentagonal face height of the Icosidodecahedron. Circumsphere Radius of Icosidodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height using this online evaluator? To use this online evaluator for Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height, enter Pentagonal Face Height of Icosidodecahedron (h_Pentagon) and hit the calculate button.

FAQs on Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height

What is the formula to find Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height?

The formula of Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height is expressed as Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*Pentagonal Face Height of Icosidodecahedron/sqrt(5+(2*sqrt(5))). Here is an example- 15.77193 = (1+sqrt(5))*15/sqrt(5+(2*sqrt(5))).

How to calculate Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height?

With Pentagonal Face Height of Icosidodecahedron (h_Pentagon) we can find Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*Pentagonal Face Height of Icosidodecahedron/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Icosidodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Icosidodecahedron-

Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*Edge Length of Icosidodecahedron
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

Can the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height be negative?

No, the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Icosidodecahedron given Pentagonal Face Height?

Circumsphere Radius of Icosidodecahedron given Pentagonal Face 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 Icosidodecahedron given Pentagonal Face Height can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit