Pentagonal Edge Length of Base of Star Pyramid Calculator

✖Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.ⓘ Edge Length of Base of Star Pyramid [l_e(Base)]

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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 [l_e(Pentagon)]

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Pentagonal Edge Length of Base of Star Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pentagonal Edge Length of Base of Star Pyramid = Edge Length of Base of Star Pyramid/([phi])
l_e(Pentagon) = l_e(Base)/([phi])
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.
Edge Length of Base of Star Pyramid - (Measured in Meter) - Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Star Pyramid: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Pentagon) = l_e(Base)/([phi]) --> 6/([phi])

Evaluating ... ...

l_e(Pentagon) = 3.70820393249937

STEP 3: Convert Result to Output's Unit

3.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

3.70820393249937 ≈ 3.708204 Meter <-- Pentagonal Edge Length of Base of Star Pyramid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Pentagonal Edge Length of Star Pyramid Calculators

Pentagonal Edge Length of Base of Star Pyramid given Volume

LaTeX 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

LaTeX 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

LaTeX 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

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

Pentagonal Edge Length of Base of Star Pyramid Formula

LaTeX Go

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

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?

Pentagonal Edge Length of Base of Star Pyramid calculator uses Pentagonal Edge Length of Base of Star Pyramid = Edge Length of Base of Star Pyramid/([phi]) to calculate the Pentagonal Edge Length of Base of Star Pyramid, Pentagonal Edge Length of Base of Star Pyramid formula is defined as 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 is denoted by l_e(Pentagon) symbol.

How to calculate Pentagonal Edge Length of Base of Star Pyramid using this online calculator? To use this online calculator for Pentagonal Edge Length of Base of Star Pyramid, enter Edge Length of Base of Star Pyramid (l_e(Base)) and hit the calculate button. Here is how the Pentagonal Edge Length of Base of Star Pyramid calculation can be explained with given input values -> 3.708204 = 6/([phi]).

FAQ

What is Pentagonal Edge Length of Base of Star Pyramid?

Pentagonal Edge Length of Base of Star Pyramid formula is defined as the edge length of the regular pentagon from which the pentagrammic base of the Star Pyramid is constructed and is represented as l_e(Pentagon) = l_e(Base)/([phi]) or Pentagonal Edge Length of Base of Star Pyramid = Edge Length of Base of Star Pyramid/([phi]). Edge Length of Base of Star Pyramid is the length of the line joining any two adjacent vertices of the pentagrammic base of the Star Pyramid.

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

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