FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pentagram Chord of Great Stellated Dodecahedron given Circumradius Formula

GoPentagram Chord of Great Stellated Dodecahedron Formula

GoPentagram Chord of Great Stellated Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

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{4 \cdot r c}{\sqrt{3} \cdot (3 + \sqrt{5})}

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

Pentagram Chord of Great Stellated Dodecahedron given Circumradius Example

With values

With units

Only example

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

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

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

42.9719 = (2 + \sqrt{5}) \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

42.9719m = (2 + \sqrt{5}) \cdot \frac{4 \cdot 23m}{\sqrt{3} \cdot (3 + \sqrt{5})}

42.9719 = (2 + \sqrt{5}) \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Pentagram Chord of Great Stellated Dodecahedron given Circumradius

Pentagram Chord of Great Stellated Dodecahedron given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot 23m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

l c(Pentagram) = (2 + \sqrt{5}) \cdot \frac{4 \cdot 23}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

l c(Pentagram) = 42.9719285122849m

LAST Step Rounding Answer

∴

l c(Pentagram) = 42.9719m

Pentagram Chord of Great Stellated Dodecahedron given Circumradius 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

Circumradius of Great Stellated Dodecahedron

Circumradius of Great Stellated Dodecahedron is the radius of sphere that contains Great Stellated Dodecahedron in such a way that all vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Pyramidal Height

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

Pentagram Chord of Great Stellated Dodecahedron given Circumradius evaluator uses Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius 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 Circumradius 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 circumradius. Pentagram Chord of Great Stellated Dodecahedron is denoted by l_c(Pentagram) symbol.

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

FAQs on Pentagram Chord of Great Stellated Dodecahedron given Circumradius

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

The formula of Pentagram Chord of Great Stellated Dodecahedron given Circumradius is expressed as Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 42.97193 = (2+sqrt(5))*(4*23)/(sqrt(3)*(3+sqrt(5))).

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

With Circumradius of Great Stellated Dodecahedron (r_c) we can find Pentagram Chord of Great Stellated Dodecahedron given Circumradius using the formula - Pentagram Chord of Great Stellated Dodecahedron = (2+sqrt(5))*(4*Circumradius 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))*(6*Pyramidal Height of Great Stellated Dodecahedron)/(sqrt(3)*(3+sqrt(5)))

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

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

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

Pentagram Chord of Great 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 Great Stellated Dodecahedron given Circumradius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit