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

✖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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✖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 given Pentagonal Edge Length of Base [l_c]

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Formula

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Chord Length of Star Pyramid given Pentagonal Edge Length of Base

Formula

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

Example

`"10.47214m"="[phi]"^2*"4m"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[phi] - Golden ratio Value Taken As 1.61803398874989484820458683436563811

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Pentagonal Edge Length of Base of Star Pyramid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = [phi]^2*l_e(Pentagon) --> [phi]^2*4

Evaluating ... ...

l_c = 10.4721359549996

STEP 3: Convert Result to Output's Unit

10.4721359549996 Meter --> No Conversion Required

FINAL ANSWER

10.4721359549996 ≈ 10.47214 Meter <-- Chord Length 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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< 4 Chord Length of Star Pyramid Calculators

Chord Length of Star Pyramid given Volume

Go Chord Length of Star Pyramid = sqrt((6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Height of Star Pyramid))

Chord Length of Star Pyramid given Lateral Edge Length

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

Chord Length of Star Pyramid

Go Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid

Chord Length of Star Pyramid given Pentagonal Edge Length of Base

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

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

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

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

Chord Length of Star Pyramid given Pentagonal Edge Length of Base calculator uses Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid to calculate the Chord Length of Star Pyramid, Chord Length of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid and is calculated using the pentagonal edge length of base of the Star Pyramid. Chord Length of Star Pyramid is denoted by l_c symbol.

How to calculate Chord Length of Star Pyramid given Pentagonal Edge Length of Base using this online calculator? To use this online calculator for Chord Length of Star Pyramid given Pentagonal Edge Length of Base, enter Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)) and hit the calculate button. Here is how the Chord Length of Star Pyramid given Pentagonal Edge Length of Base calculation can be explained with given input values -> 10.47214 = [phi]^2*4.

FAQ

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

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

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

Chord Length of Star Pyramid given Pentagonal Edge Length of Base formula is defined as the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid and is calculated using the pentagonal edge length of base of the Star Pyramid is calculated using Chord Length of Star Pyramid = [phi]^2*Pentagonal Edge Length of Base of Star Pyramid. To calculate Chord Length of Star Pyramid given Pentagonal Edge Length of Base, you need Pentagonal Edge Length of Base of Star Pyramid (l_e(Pentagon)). With our tool, you need to enter the respective value for Pentagonal 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 Chord Length of Star Pyramid?

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

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

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