Pentagram Chord of Small Stellated Dodecahedron given Circumradius Calculator

✖Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.ⓘ Circumradius of Small Stellated Dodecahedron [r_c]

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✖Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.ⓘ Pentagram Chord of Small Stellated Dodecahedron given Circumradius [l_c(Pentagram)]

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Pentagram Chord of Small Stellated Dodecahedron given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
l_c(Pentagram) = (2+sqrt(5))*((4*r_c)/(sqrt(50+22*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

Pentagram Chord of Small Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.
Circumradius of Small Stellated Dodecahedron - (Measured in Meter) - Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Small Stellated Dodecahedron: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c(Pentagram) = (2+sqrt(5))*((4*r_c)/(sqrt(50+22*sqrt(5)))) --> (2+sqrt(5))*((4*25)/(sqrt(50+22*sqrt(5))))

Evaluating ... ...

l_c(Pentagram) = 42.532540417602

STEP 3: Convert Result to Output's Unit

42.532540417602 Meter --> No Conversion Required

FINAL ANSWER

42.532540417602 ≈ 42.53254 Meter <-- Pentagram Chord of Small Stellated Dodecahedron

(Calculation completed in 00.007 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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< Pentagram Chord of Small Stellated Dodecahedron Calculators

Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height

LaTeX Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))

Pentagram Chord of Small Stellated Dodecahedron given Circumradius

LaTeX Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Pentagram Chord of Small Stellated Dodecahedron given Ridge Length

LaTeX Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))

Pentagram Chord of Small Stellated Dodecahedron

LaTeX Go Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron

Pentagram Chord of Small Stellated Dodecahedron given Circumradius Formula

LaTeX Go

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))
l_c(Pentagram) = (2+sqrt(5))*((4*r_c)/(sqrt(50+22*sqrt(5))))

What is Small Stellated Dodecahedron?

The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

How to Calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius calculator uses Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))) to calculate the Pentagram Chord of Small Stellated Dodecahedron, Pentagram Chord of Small Stellated Dodecahedron given Circumradius formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its circumradius. Pentagram Chord of Small Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius using this online calculator? To use this online calculator for Pentagram Chord of Small Stellated Dodecahedron given Circumradius, enter Circumradius of Small Stellated Dodecahedron (r_c) and hit the calculate button. Here is how the Pentagram Chord of Small Stellated Dodecahedron given Circumradius calculation can be explained with given input values -> 42.53254 = (2+sqrt(5))*((4*25)/(sqrt(50+22*sqrt(5)))).

FAQ

What is Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its circumradius and is represented as l_c(Pentagram) = (2+sqrt(5))*((4*r_c)/(sqrt(50+22*sqrt(5)))) or Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). Circumradius of Small Stellated Dodecahedron is the radius of sphere that contains the Small Stellated Dodecahedron in such a way that all vertices are lying on sphere.

How to calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron, calculated using its circumradius is calculated using Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). To calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius, you need Circumradius of Small Stellated Dodecahedron (r_c). With our tool, you need to enter the respective value for Circumradius of Small Stellated 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 Pentagram Chord of Small Stellated Dodecahedron?

In this formula, Pentagram Chord of Small Stellated Dodecahedron uses Circumradius of Small Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*Edge Length of Small Stellated Dodecahedron
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((5*Pyramidal Height of Small Stellated Dodecahedron)/(sqrt(25+10*sqrt(5))))

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