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Circumsphere Radius of Icosidodecahedron Formula

GoCircumsphere Radius of Icosidodecahedron given Total Surface Area Formula

GoCircumsphere Radius of Icosidodecahedron given Volume Formula

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

r_c - Circumsphere Radius of Icosidodecahedron?l_e - Edge Length of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron Example

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Here is how the Circumsphere Radius of Icosidodecahedron equation looks like with Values.

Here is how the Circumsphere Radius of Icosidodecahedron equation looks like with Units.

Here is how the Circumsphere Radius of Icosidodecahedron equation looks like.

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot 10

16.1803m = \frac{1 + \sqrt{5}}{2} \cdot 10m

16.1803 = \frac{1 + \sqrt{5}}{2} \cdot 10

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Circumsphere Radius of Icosidodecahedron Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Icosidodecahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{1 + \sqrt{5}}{2} \cdot 10

Next Step Evaluate

∴

r c = 16.1803398874989m

LAST Step Rounding Answer

∴

r c = 16.1803m

Circumsphere Radius of Icosidodecahedron 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

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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

Go Circumsphere Radius of Icosidodecahedron given Surface to Volume Ratio

r c = (1 + \sqrt{5}) \cdot \frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Circumsphere Radius of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron evaluator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*Edge Length of Icosidodecahedron to evaluate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron 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. Circumsphere Radius of Icosidodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Icosidodecahedron

What is the formula to find Circumsphere Radius of Icosidodecahedron?

The formula of Circumsphere Radius of Icosidodecahedron is expressed as Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*Edge Length of Icosidodecahedron. Here is an example- 16.18034 = (1+sqrt(5))/2*10.

How to calculate Circumsphere Radius of Icosidodecahedron?

With Edge Length of Icosidodecahedron (l_e) we can find Circumsphere Radius of Icosidodecahedron using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/2*Edge Length of Icosidodecahedron. 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*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)
Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/(sqrt(5+(2*sqrt(5))))*Midsphere Radius of Icosidodecahedron

Can the Circumsphere Radius of Icosidodecahedron be negative?

No, the Circumsphere Radius of Icosidodecahedron, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron 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 can be measured.

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