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Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

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Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron. Check FAQs

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

l_c(Pentagram) - Pentagram Chord of Great Stellated Dodecahedron?h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Example

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Here is how the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height equation looks like with Values.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height equation looks like with Units.

Here is how the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height equation looks like.

42.0378 = (2 + \sqrt{5}) \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

42.0378m = (2 + \sqrt{5}) \cdot \frac{6 \cdot 15m}{\sqrt{3} \cdot (3 + \sqrt{5})}

42.0378 = (2 + \sqrt{5}) \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Solution

Follow our step by step solution on how to calculate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

FIRST Step Consider the formula

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot 15m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{6 \cdot 15}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

l c(Pentagram) = 42.0377561533222m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.0378m

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height Formula Elements

Variables

Functions

Pentagram Chord of Great Stellated Dodecahedron

Pentagram Chord of Great Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron.

Symbol: l_c(Pentagram)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagram Chord of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great 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 Great Stellated Dodecahedron

Go Pentagram Chord of Great Stellated Dodecahedron

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

Go Pentagram Chord of Great Stellated Dodecahedron given Ridge Length

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

Go Pentagram Chord of Great Stellated Dodecahedron given Circumradius

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Pentagram Chord of Great 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 Great Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Pentagram Chord of Great Stellated Dodecahedron, Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height formula is defined as the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Great Stellated Dodecahedron, calculated using its pyramidal height. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

How to evaluate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height using this online evaluator? To use this online evaluator for Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height, enter Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) and hit the calculate button.

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height

What is the formula to find Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

The formula of Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 42.03776 = (2+sqrt(5))*(6*15)/(sqrt(3)*(3+sqrt(5))).

How to calculate Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

With Pyramidal Height of Great Stellated Dodecahedron (h_Pyramid) we can find Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height using the formula - Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*Edge Length of Great Stellated Dodecahedron
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pentagram Chord of Great Stellated Dodecahedron=(2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height be negative?

No, the Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height, measured in Length cannot be negative.

Which unit is used to measure Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height?

Pentagram Chord of Great Stellated Dodecahedron given Pyramidal Height 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 Great Stellated Dodecahedron given Pyramidal Height can be measured.

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