Midsphere Radius of Pentakis Dodecahedron Calculator

✖Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.ⓘ Base Length of Pentakis Dodecahedron [l_Base]

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✖Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Pentakis Dodecahedron [r_m]

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Midsphere Radius of Pentakis Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5))
r_m = (l_Base/4)*(3+sqrt(5))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Midsphere Radius of Pentakis Dodecahedron - (Measured in Meter) - Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere.
Base Length of Pentakis Dodecahedron - (Measured in Meter) - Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Base Length of Pentakis Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = (l_Base/4)*(3+sqrt(5)) --> (10/4)*(3+sqrt(5))

Evaluating ... ...

r_m = 13.0901699437495

STEP 3: Convert Result to Output's Unit

13.0901699437495 Meter --> No Conversion Required

FINAL ANSWER

13.0901699437495 ≈ 13.09017 Meter <-- Midsphere Radius of Pentakis Dodecahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Midsphere Radius of Pentakis Dodecahedron Calculators

Midsphere Radius of Pentakis Dodecahedron given Surface to Volume Ratio

LaTeX Go Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))

Midsphere Radius of Pentakis Dodecahedron given Total Surface Area

LaTeX Go Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))))

Midsphere Radius of Pentakis Dodecahedron given Leg Length

LaTeX Go Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))

Midsphere Radius of Pentakis Dodecahedron

LaTeX Go Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5))

Midsphere Radius of Pentakis Dodecahedron Formula

LaTeX Go

Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5))
r_m = (l_Base/4)*(3+sqrt(5))

What is Pentakis Dodecahedron ?

A Pentakis Dodecahedron is a polyhedron with isosceles triangle faces. Five of these are attached as a pyramid on each face of a dodecahedron.
It has 60 faces, 90 edges, 32 vertices.

How to Calculate Midsphere Radius of Pentakis Dodecahedron?

Midsphere Radius of Pentakis Dodecahedron calculator uses Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5)) to calculate the Midsphere Radius of Pentakis Dodecahedron, Midsphere Radius of Pentakis Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere. Midsphere Radius of Pentakis Dodecahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Pentakis Dodecahedron using this online calculator? To use this online calculator for Midsphere Radius of Pentakis Dodecahedron, enter Base Length of Pentakis Dodecahedron (l_Base) and hit the calculate button. Here is how the Midsphere Radius of Pentakis Dodecahedron calculation can be explained with given input values -> 13.09017 = (10/4)*(3+sqrt(5)).

FAQ

What is Midsphere Radius of Pentakis Dodecahedron?

Midsphere Radius of Pentakis Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere and is represented as r_m = (l_Base/4)*(3+sqrt(5)) or Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5)). Base Length of Pentakis Dodecahedron is the length of the base of the isosceles triangular face of Pentakis Dodecahedron.

How to calculate Midsphere Radius of Pentakis Dodecahedron?

Midsphere Radius of Pentakis Dodecahedron formula is defined as the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere is calculated using Midsphere Radius of Pentakis Dodecahedron = (Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5)). To calculate Midsphere Radius of Pentakis Dodecahedron, you need Base Length of Pentakis Dodecahedron (l_Base). With our tool, you need to enter the respective value for Base Length of Pentakis Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Midsphere Radius of Pentakis Dodecahedron?

In this formula, Midsphere Radius of Pentakis Dodecahedron uses Base Length of Pentakis Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))
Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))
Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))))

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