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Pentagram Chord of Small Stellated Dodecahedron given Circumradius Formula

GoPentagram Chord of Small Stellated Dodecahedron Formula

GoPentagram Chord of Small Stellated Dodecahedron given Ridge Length Formula

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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. Check FAQs

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})

l_c(Pentagram) - Pentagram Chord of Small Stellated Dodecahedron?r_c - Circumradius of Small Stellated Dodecahedron?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius Example

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Here is how the Pentagram Chord of Small Stellated Dodecahedron given Circumradius equation looks like with Values.

Here is how the Pentagram Chord of Small Stellated Dodecahedron given Circumradius equation looks like with Units.

Here is how the Pentagram Chord of Small Stellated Dodecahedron given Circumradius equation looks like.

42.5325 = (2 + \sqrt{5}) \cdot (\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})

42.5325m = (2 + \sqrt{5}) \cdot (\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})

42.5325 = (2 + \sqrt{5}) \cdot (\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})

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Pentagram Chord of Small Stellated Dodecahedron given Circumradius Solution

Follow our step by step solution on how to calculate Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

FIRST Step Consider the formula

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{4 \cdot r c}{\sqrt{50 + 22 \cdot \sqrt{5}}})

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{4 \cdot 25m}{\sqrt{50 + 22 \cdot \sqrt{5}}})

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{4 \cdot 25}{\sqrt{50 + 22 \cdot \sqrt{5}}})

Next Step Evaluate

∴

l c(Pentagram) = 42.532540417602m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.5325m

Pentagram Chord of Small Stellated Dodecahedron given Circumradius Formula Elements

Variables

Functions

Pentagram Chord of Small Stellated Dodecahedron

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.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Small Stellated Dodecahedron

Circumradius of Small Stellated Dodecahedron

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Small Stellated Dodecahedron

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 Pentagram Chord of Small Stellated Dodecahedron

Go Pentagram Chord of Small Stellated Dodecahedron

l c(Pentagram) = (2 + \sqrt{5}) \cdot l e

Go Pentagram Chord of Small Stellated Dodecahedron given Ridge Length

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{2 \cdot l Ridge}{1 + \sqrt{5}})

Go Pentagram Chord of Small Stellated Dodecahedron given Pyramidal Height

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\frac{5 \cdot h Pyramid}{\sqrt{25 + 10 \cdot \sqrt{5}}})

Go Pentagram Chord of Small Stellated Dodecahedron given Total Surface Area

l c(Pentagram) = (2 + \sqrt{5}) \cdot (\sqrt{\frac{TSA}{15 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}}})

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

Pentagram Chord of Small Stellated Dodecahedron given Circumradius evaluator uses Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))) to evaluate 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 evaluate Pentagram Chord of Small Stellated Dodecahedron given Circumradius using this online evaluator? To use this online evaluator for Pentagram Chord of Small Stellated Dodecahedron given Circumradius, enter Circumradius of Small Stellated Dodecahedron (r_c) and hit the calculate button.

FAQs on Pentagram Chord of Small Stellated Dodecahedron given Circumradius

What is the formula to find Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

The formula of Pentagram Chord of Small Stellated Dodecahedron given Circumradius is expressed as Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). Here is an example- 42.53254 = (2+sqrt(5))*((4*25)/(sqrt(50+22*sqrt(5)))).

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

With Circumradius of Small Stellated Dodecahedron (r_c) we can find Pentagram Chord of Small Stellated Dodecahedron given Circumradius using the formula - Pentagram Chord of Small Stellated Dodecahedron = (2+sqrt(5))*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagram Chord of Small Stellated Dodecahedron?

Here are the different ways to Calculate Pentagram Chord of Small Stellated Dodecahedron-

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))))

Can the Pentagram Chord of Small Stellated Dodecahedron given Circumradius be negative?

No, the Pentagram Chord of Small Stellated Dodecahedron given Circumradius, measured in Length cannot be negative.

Which unit is used to measure Pentagram Chord of Small Stellated Dodecahedron given Circumradius?

Pentagram Chord of Small Stellated Dodecahedron given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pentagram Chord of Small Stellated Dodecahedron given Circumradius can be measured.

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