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Circumsphere Radius of Icosidodecahedron given Midsphere Radius Formula

GoCircumsphere Radius of Icosidodecahedron Formula

GoCircumsphere Radius of Icosidodecahedron given Total Surface Area 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}}{\sqrt{5 + (2 \cdot \sqrt{5})}} \cdot r m

r_c - Circumsphere Radius of Icosidodecahedron?r_m - Midsphere Radius of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron given Midsphere Radius Example

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

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

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

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

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

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

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Circumsphere Radius of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 15.771933363574m

LAST Step Rounding Answer

∴

r c = 15.7719m

Circumsphere Radius of Icosidodecahedron given Midsphere Radius 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

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 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 given Midsphere Radius?

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

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

FAQs on Circumsphere Radius of Icosidodecahedron given Midsphere Radius

What is the formula to find Circumsphere Radius of Icosidodecahedron given Midsphere Radius?

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

How to calculate Circumsphere Radius of Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Icosidodecahedron (r_m) we can find Circumsphere Radius of Icosidodecahedron given Midsphere Radius using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))/(sqrt(5+(2*sqrt(5))))*Midsphere Radius 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*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 Midsphere Radius be negative?

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

Which unit is used to measure Circumsphere Radius of Icosidodecahedron given Midsphere Radius?

Circumsphere Radius of Icosidodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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