Pentagonal Edge Length of Base of Star Pyramid given Chord Length Calculator

✖Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.ⓘ Chord Length of Star Pyramid [l_c]

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✖Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.ⓘ Pentagonal Edge Length of Base of Star Pyramid given Chord Length [l_e(Pentagon)]

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Formula

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Pentagonal Edge Length of Base of Star Pyramid given Chord Length

Formula

`"l"_{"e(Pentagon)"} = "l"_{"c"}/"[phi]"^2`

Example

`"3.81966m"="10m"/"[phi]"^2`

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Pentagonal Edge Length of Base of Star Pyramid given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2
l_e(Pentagon) = l_c/[phi]^2
This formula uses 1 Constants, 2 Variables

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

Pentagonal Edge Length of Base of Star Pyramid - (Measured in Meter) - Pentagonal Edge Length of Base of Star Pyramid is the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed.
Chord Length of Star Pyramid - (Measured in Meter) - Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

STEP 1: Convert Input(s) to Base Unit

Chord Length of Star Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = l_c/[phi]^2 --> 10/[phi]^2

Evaluating ... ...

l_e(Pentagon) = 3.81966011250105

STEP 3: Convert Result to Output's Unit

3.81966011250105 Meter --> No Conversion Required

FINAL ANSWER

3.81966011250105 ≈ 3.81966 Meter <-- Pentagonal Edge Length of Base of Star Pyramid

(Calculation completed in 00.004 seconds)

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< 4 Pentagonal Edge Length of Star Pyramid Calculators

Pentagonal Edge Length of Base of Star Pyramid given Volume

Go Pentagonal Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2

Pentagonal Edge Length of Base of Star Pyramid given Ridge Length

Go Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))

Pentagonal Edge Length of Base of Star Pyramid

Go Pentagonal Edge Length of Base of Star Pyramid = Edge Length of Base of Star Pyramid/([phi])

Pentagonal Edge Length of Base of Star Pyramid given Chord Length

Go Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2

Pentagonal Edge Length of Base of Star Pyramid given Chord Length Formula

Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2
l_e(Pentagon) = l_c/[phi]^2

What is a Star Pyramid?

A Star Pyramid is based on a regular pentagram and is concave. It is a pyramid with a pentagrammic base. It has 11 faces which include a pentagram base surface and 10 triangular surfaces. Also, It has 20 edges and 6 vertices.

How to Calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length calculator uses Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2 to calculate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid given Chord Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the chord length of the Star Pyramid. Pentagonal Edge Length of Base of Star Pyramid is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length using this online calculator? To use this online calculator for Pentagonal Edge Length of Base of Star Pyramid given Chord Length, enter Chord Length of Star Pyramid (l_c) and hit the calculate button. Here is how the Pentagonal Edge Length of Base of Star Pyramid given Chord Length calculation can be explained with given input values -> 3.81966 = 10/[phi]^2.

FAQ

What is Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the chord length of the Star Pyramid and is represented as l_e(Pentagon) = l_c/[phi]^2 or Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2. Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

How to calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length?

Pentagonal Edge Length of Base of Star Pyramid given Chord Length formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is calculated using the chord length of the Star Pyramid is calculated using Pentagonal Edge Length of Base of Star Pyramid = Chord Length of Star Pyramid/[phi]^2. To calculate Pentagonal Edge Length of Base of Star Pyramid given Chord Length, you need Chord Length of Star Pyramid (l_c). With our tool, you need to enter the respective value for Chord Length of Star Pyramid 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 Pentagonal Edge Length of Base of Star Pyramid?

In this formula, Pentagonal Edge Length of Base of Star Pyramid uses Chord Length of Star Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Pentagonal Edge Length of Base of Star Pyramid = Edge Length of Base of Star Pyramid/([phi])
Pentagonal Edge Length of Base of Star Pyramid = sqrt(((Ridge Length of Star Pyramid^2-Height of Star Pyramid^2)*100)/(50+(10*sqrt(5))))
Pentagonal Edge Length of Base of Star Pyramid = (sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid)))/[phi]^2

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