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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
rc=(1+5)⋅APentagon25+(10⋅5)
rc - Circumsphere Radius of Icosidodecahedron?APentagon - Pentagonal Face Area of Icosidodecahedron?

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area Example

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

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

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

16.0838Edit=(1+5)⋅170Edit25+(10⋅5)
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Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area Solution

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

FIRST Step Consider the formula
rc=(1+5)⋅APentagon25+(10⋅5)
Next Step Substitute values of Variables
∴ rc=(1+5)⋅170m²25+(10⋅5)
Next Step Prepare to Evaluate
∴ rc=(1+5)⋅17025+(10⋅5)
Next Step Evaluate
∴rc=16.083761140737m
LAST Step Rounding Answer
∴rc=16.0838m

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area 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: rc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Circumsphere Radius of IcosidodecahedronOpen Variable
Pentagonal Face Area of Icosidodecahedron
Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.
Symbol: APentagon
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Pentagonal Face Area of IcosidodecahedronOpen Variable
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
rc=1+52⋅le
​Go Circumsphere Radius of Icosidodecahedron given Total Surface Area
rc=1+52⋅TSA(5⋅3)+(3⋅25+(10⋅5))
​Go Circumsphere Radius of Icosidodecahedron given Volume
rc=1+52⋅(6⋅V45+(17⋅5))13
​Go Circumsphere Radius of Icosidodecahedron given Midsphere Radius
rc=1+55+(2⋅5)⋅rm

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

Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area evaluator uses Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt((Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5)))) to evaluate the Circumsphere Radius of Icosidodecahedron, Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area 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 area of the Icosidodecahedron. Circumsphere Radius of Icosidodecahedron is denoted by rc symbol.

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

FAQs on Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area

What is the formula to find Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area?
The formula of Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area is expressed as Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt((Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*sqrt(5)))). Here is an example- 16.08376 = (1+sqrt(5))*sqrt((170)/sqrt(25+(10*sqrt(5)))).
How to calculate Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area?
With Pentagonal Face Area of Icosidodecahedron (APentagon) we can find Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area using the formula - Circumsphere Radius of Icosidodecahedron = (1+sqrt(5))*sqrt((Pentagonal Face Area of Icosidodecahedron)/sqrt(25+(10*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 IcosidodecahedronOpenImg
  • Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))OpenImg
  • Circumsphere Radius of Icosidodecahedron=(1+sqrt(5))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)OpenImg
Can the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area be negative?
No, the Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area, measured in Length cannot be negative.
Which unit is used to measure Circumsphere Radius of Icosidodecahedron given Pentagonal Face Area?
Circumsphere Radius of Icosidodecahedron given Pentagonal Face 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 Icosidodecahedron given Pentagonal Face Area can be measured.
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