Chord Length 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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✖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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Chord Length of Star Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid
l_c = [phi]*l_e(Base)
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.
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_c = [phi]*l_e(Base) --> [phi]*6

Evaluating ... ...

l_c = 9.70820393249937

STEP 3: Convert Result to Output's Unit

9.70820393249937 Meter --> No Conversion Required

FINAL ANSWER

9.70820393249937 ≈ 9.708204 Meter <-- Chord Length of Star Pyramid

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Chord Length of Star Pyramid Calculators

Chord Length of Star Pyramid given Volume

LaTeX 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

LaTeX 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

LaTeX 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

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

Chord Length of Star Pyramid Formula

LaTeX Go

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

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?

Chord Length of Star Pyramid calculator uses Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid to calculate the Chord Length of Star Pyramid, Chord Length of Star Pyramid 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. Chord Length of Star Pyramid is denoted by l_c symbol.

How to calculate Chord Length of Star Pyramid using this online calculator? To use this online calculator for Chord Length of Star Pyramid, enter Edge Length of Base of Star Pyramid (l_e(Base)) and hit the calculate button. Here is how the Chord Length of Star Pyramid calculation can be explained with given input values -> 9.708204 = [phi]*6.

FAQ

What is Chord Length of Star Pyramid?

Chord Length of Star Pyramid 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 represented as l_c = [phi]*l_e(Base) or Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid. 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 Chord Length of Star Pyramid?

Chord Length of Star Pyramid 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 is calculated using Chord Length of Star Pyramid = [phi]*Edge Length of Base of Star Pyramid. To calculate Chord Length 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 Chord Length of Star Pyramid?

In this formula, Chord Length 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 -

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